Since the date of a person's death is unpredictable, inheritance is unlikely to be a part of anyone's immediate spending plans. An increase in death duties/capital transfer tax/inheritance tax could therefore be used to raise substantial revenues without affecting the recovery. Such an increase would be entirely compatible with John Major's professed aim of a classless society.
Whatever the morality or otherwise of inequalities in earned income, there can be no economic or moral justification for large inequalities in inherited wealth. The management of wealth, and the power it confers, should be in the hands of those who have already shown that they can use it responsibly. They are not those who have merely inherited wealth.