Frances Bean Cobain, whose Nirvana frontman father took his own life at the age of 27, tweeted that “the death of young musicians isn’t something to romanticise”. She later deleted the tweet.
“I’ll never know my father because he died young and it becomes a desirable feat because people like you think it’s ‘cool,’” she wrote.
“Well, it’s f**king not. Embrace life, because you only get one life.”
Del Rey said in the controversial Guardian interview that the death of young musicians was “glamorous” and described her life as “one f**ked up movie”.
She also said she wished she wasn’t alive anymore.
“That's just how I feel. If it wasn't that way, then I wouldn't say it. I would be scared if I knew [death] was coming, but…” she said.
However, last week she angrily commented on the interview, arguing that journalist Tim Jonze's questions were “calculating” and “misleading”.
“Maybe he’s actually the boring one looking for something to write about,” she said of Jonze, in a series of tweets, which have since been deleted.
Cobain said her response to the quotes was not a criticism of Del Rey.
I'm not attacking anyone. I have no animosity towards Lana, I was just trying to put things in perspective from personal experience.; Frances Bean Cobain (@alka_seltzer666) June 23, 2014
Del Rey’s second album, Ultraviolence, reached number one in the UK charts yesterday (22 June).