Well Corbyn and almost all his closest confidants and advisors attended private schools and are no more working class than the Royal family. At least Mrs May was state educated.
I finding it rather comforting that there is no glass ceiling for women in the Conservative party, Mrs Thatcher had to be exceptional to become Prime Minister, Mrs May is as incompetent as her male predecessor, David Cameron.
No idea what a female leader of the Labour party would be like, they have never had one. All the Labour party has shown is that when it comes to party leaders no man is too incompetent to become leader.