The amputee athlete, who famously competed in the 2012 Olympics alongside able bodied sportsmen as well as in the Paralympics, was found guilty of the culpable homicide of his model girlfriend last month.
Pistorius’s defence team have pleaded to Judge Thokozile Masipa to place him under house arrest instead of handing him a prison term.
"I don't think much of the story of him being disabled and that there is no room for disability in prison and that he must get house arrest," Cowburn told the Daily Mail.
"It is not right. He has been on bail since the shooting. He has been free to go anywhere he wants... chatting up other women.
"He went into the Olympics and competed against other [able-bodied] athletes and he shouldn't use his disability as an excuse now. He should be punished like any other able bodied person. He shouldn't be given privileges now.
"[Are they saying that] if you are missing an arm or a leg or whatever, you don't go to jail? They should put him in a wheelchair. There are people with disabilities in prison.
Oscar Pistorius: Career in pictures
Oscar Pistorius: Career in pictures
1/34 Oscar Pistorius in Greece
Oscar Pistorius wins the 200m T44 for Men during the Athens 2004 Paralympic Games at the Olympic Stadium in Athens, 2004
2/34 Oscar Pistorius in Greece
Oscar Pistorius at the Olympic Stadium in Athens, 2004
3/34 Oscar Pistorius in Manchester
Oscar Pistorius celebrates winning his second gold medal during the VISA Paralympic World Cup Athletics at the Sport City Stadium in Manchester, 2006
4/34 Oscar Pistorius in Manchester
Oscar Pistorius shows his gold medal after winning the T44 200 m for men at the Visa Paralympic world cup at the Manchester Regional Arena, 2007
5/34 Oscar Pistorius competes in race
Oscar Pistorius competing in the men's 400m race B, 2007
6/34 Oscar Pistorius in Rome
Oscar Pistorius settles in the blocks before winning the Mens 400m 'B' race during the IAAF Golden Gala at The Olympic Stadium in Rome, 2007
7/34 Oscar Pistorius in Rome
Oscar Pistorius poses during the broadcast 'Piazza grande' on Italian TV state channel 'Rai 1' in Rome, 2008
8/34 Oscar Pistorius in St.Petersburg
(L to R) Bryan Habana, Cuba Gooding Jr and Oscar Pistorius during the Laureus welcome reception at Gimnazya in St.Petersburg, 2008
9/34 Oscar Pistorius arrives at the Court of Arbitration for Sport (CAS) in Lausanne
Oscar Pistorius arrives at the Court of Arbitration for Sport (CAS) in Lausanne to appeal his case on the second day of his hearing as he was told by the International Association of Athletics Federations (IAAF) that he could not compete in their events because the artificial legs he uses gives him an unfair advantage, 2008
10/34 Oscar Pistorius runs during a training session
Oscar Pistorius runs during a training session on the track of Emmeloord, 2008
11/34 Oscar Pistorius in Germany
Oscar Pistorius compete during the 400 meter race at the German disabled athletics championships in Berlin, 2008
12/34 Oscar Pistorius in Italy
Oscar Pistorius of South Africa relaxes prior to the 400m race in his quest to make the Olympic qualifying time of 45.55 during the Notturna di Milano International Athletics Meeting at the Arena Gianni Brera in Milan, 2008
13/34 Oscar Pistorius in China
Oscar Pistorius speaks at a press conference for the 2008 Beijing Paralympic Games in Beijing, 2008
14/34 Oscar Pistorius in China
Oscar Pistorius of South Africa celebrates after winning the gold medal in the Men's 100m T44 Final Athletics event at the National Stadium during day three of the 2008 Paralympic Games in Beijing, 2008
15/34 Oscar Pistorius in China
Oscar Pistorious (L) leads Heros Marai (C) of Italy and Christoph Bausch (R) of Switzerland in the heats of the men's 100 metre T44 classification race at the 2008 Beijing Paralympic Games in Beijing, 2008
16/34 Oscar Pistorius and Nelson Mandela in South Africa
Oscar Pistorius and former South African President, Nelson Mandela in South Africa, 2009
17/34 Oscar Pistorius in Norway
Oscar Pistorius looks on prior to the 400m B-final during the IAAF Golden League Bislett Games in Oslo, 2009
18/34 Oscar Pistorius in London
Oscar Pistorius reacts after winning the men's 400 metres T44 final race with a new world record time of 47.04 sec during the Diamond League athletics meeting at Crystal Palace in London, 2010
19/34 Oscar Pistorius in New Zealand
Oscar Pistorius of South Africa celebrates receiving his gold medal after winning the Men's 200m T44 final during day three of the IPC Athletics Championships at QE II Park in Christchurch, New Zealand, 2011
20/34 Oscar Pistorius in New Zealand
(L-R) Arnu Fourie, Henry Roos, Oscar Pistorius and Mike Samkelo Radebe of South Africa celebrate after winning the Men's 4x100m Relay T42-46 final during day eight of the IPC Athletics Championships at QE II Park in Christchurch, New Zealand, 2011
21/34 Oscar Pistorius in New Zealand
Oscar Pistorius of South Africa poses with his medals during day eight of the IPC Athletics Championships at QE II Park in Christchurch, New Zealand, 2011
22/34 Oscar Pistorius in South Africa
Oscar Pistorius in action during the 400m during day 5 of The Nedbank National Championships for the Physically Disabled from Olympia Park Stadium in Rustenburg, 2011
23/34 Oscar Pistorius in Czech Republic
Oscar Pistorius warms up before the men's 400m event at the Zlata Tretra (Golden Spike) athletics meeting in the eastern Czech city of Ostrava, 2011
24/34 Oscar Pistorius in New York
Oscar Pistorius attends the Eva Mendes launch of her new campaign for Angel by Thierry Mugler at IAC Building in New York, 2011
25/34 Oscar Pistorius in South Korea
Oscar Pistorius of South Africa speaks with Olympic gold medalist Michael Johnson of the United States during a media gathering at the Novatel Hotel prior to the 13th IAAF World Athletics Championships Daegu 2011 in Daegu, South Korea, 2011
26/34 Oscar Pistorius in South Korea
Oscar Pistorius prepares to settle into the blocks to compete in the men's 400 metres heats at the International Association of Athletics Federations (IAAF) World Championships in Daegu, 2011
27/34 Oscar Pistorius in London
South African sprint runner known as 'Blade Runner' Oscar Pistorius (C) poses for photographers with Paralympians ahead of the international Paralympic Day in central London, 2011
28/34 Oscar Pistorius in London
Oscar Pistorius poses in the press room with his Laureus World Sportsperson of the Year with a Disability trophy at the 2012 Laureus World Sports Awards at Queen Elizabeth II Conference Centre in London, 2012
29/34 Oscar Pistorius in London
Oscar Pistorius of South Africa competes in the Men's 400m Round 1 heat on Day 8 of the 2012 London Olympic Games at the Olympic Stadium in London, 2012
30/34 Oscar Pistorius receives his honorary doctorate
Oscar Pistorius holds his scroll after receiving his honorary doctorate from Strathclyde University in the Barony Hall in Glasgow, 2012
31/34 Oscar Pistorius with his girlfriend
Oscar Pistorius posing next to his girlfriend Reeva Steenkamp at Melrose Arch in Johannesburg, 2013
32/34 Oscar Pistorius in court
Oscar Pistorius hides his face in his hands in the court room during his hearing on charge of murdering his model girlfriend Reeva Steenkamp at the Magistrate Court in Pretoria, 2013
33/34 Oscar Pistorius in court
Oscar Pistorius stands in the Magistrate Court in Pretoria after appearing for the first time since being freed on bail over the Valentine's Day killing of his model girlfriend, 2013
34/34 Oscar Pistorius in court
Oscar Pistorius appeared on charges of murdering his model girlfriend Reeva Steenkamp, 2013
"I was in court and he showed no remorse whatsoever. The crying, the vomiting and all that type of thing were because he realises he has done wrong, but I believe it was all an act."
She went on to highlight the disproportionate South African legal system, which can impose harsher sentences on criminals found guilty of theft or breaking and entering than it can do for some more violent crimes, like culpable homicide, which carries a maximum 10-year jail term. There is no minimum sentence for his crime, leaving it down to the judge to decide.
Judge Masipa could give Pistorius a suspended sentence, which he could potentially serve at home. His suspended sentence could be cancelled altogether if he passes a probation period on good behaviour.
Community service is another option he could receive.
"Oscar deserves prison. How can he just stay in the luxury of his house after taking somebody's life," Cowburn continued. "What is house arrest if not just wrong?
"Community service and house arrest are ridiculous. These should be for people who are stealing or other minor offences. Not shooting somebody. Reeva deserves justice.
"This case will set a precedent all around the world. We do not want other men to get off just because Oscar Pistorius has. It is still homicide.
"If a man steals a block of cheese here, he can get 20 years and that is for theft. But if you take somebody's life like Oscar has, you can get house arrest. It is not right.
“He has got to do time. It is hard to say how long he should get. Ten or twenty years or whatever.”
Pistorius’s legal team have also argued that they believe his disability and "psychological weakness" could make him a jail gang target and that imprisoning him would be a high risk to his personal safety.
Annette Vergeer, a probation officer paid by the defence, told the court: "His disability and state of mind would cause his detention to be an excessive punishment with no benefits to him, society and the deceased's family."
"These type of incidents have to stop. I believe Oscar was guilty of domestic violence at its most extreme," Cowburn countered.
Leaving a final message to Judge Masipa she added: "She should think about this very carefully because it is going to affect the whole world, especially South Africa.
"The trial of Oscar Pistorius should be sending a message out for men to understand that if somebody doesn't want to be with them, they should let them go.
"I believe Reeva was going to leave him. He wanted to own her and she was not that kind of person.
"I find some South African men, not all of them but a lot of them, are very jealous. Reeva was very independent because our mother brought us up that way and to understand the meaning of love.
"If Oscar was here in front of me now I'd ask him why he couldn't just let her go and move on."
Pistorius will hear his sentence tomorrow.