You weren't addressing me, but I hope you don't mind me answering.
I do think there shouldn't be fee-paying schools in England. Having such schools has had such bad effects on our society and its governance. I think we should do our best to manage without them.
I also think there shouldn't be fee-paying hospitals, public libraries, countryside parks, dentists, opticians, social services, museums, art galleries, universities, fresh air, rivers, mountain views ...
Hairdressers, plumbers, car showrooms, greengrocers, fishmongers ... OK. But some things are too important to leave to the market. Some things ought not to be for sale to the highest bidder.
I know it's a dream, pretty much. But some day ...