My parents both left home at 11. My mum was a forces child and my dad got a scholarship for inner city kids. I think their experiences were very different.
My mum had a dreadful experience with a Catholic convent life and clearly had big issues with her mother and I definitely think it's affected me.
My dad on the other hand loved it and it unequivocally changed his life for the better in giving him opportunities he wouldn't have otherwise had. He certainly would not have gone to university which is where he met my mum. He is however also completely emotionally detached.
They both did not want me to go through a private education and boarding school given their experiences though.
My Dad is proper Labour and Corbyn leaning. He reflects a lot on his background and how much his scholarship made the difference to him.
I think his response to whether private schools should be abolished would be along the lines of how much do they give back to kids like him and if they aren't then hell yes, they should go. But his worry on the flip of that, is to ask what opportunities are there in education now, for kids from similar backgrounds to his to escape poor schooling and difficult environments if they are talented?
Wholesale social change is needed but that type of change takes years if not generations. What happens to kids who do get rare scholarships in the meantime? If abolition in a short time frame leaves those kids to rot because the state education in their area is dreadful, that's not really going to help much.
For those reasons, for me it's one of those where I think change is needed but over time in stepped measures rather than complete abolition on day 1, with much more pressure in the interim on the social responsibility of private schools to do a lot more for less well off communities if they want to stay open. They simply are detached from reality and from other communities and that's more of the issue that needs dealing with. Close them down and you'll get up with self selection via other channels and means anyway - whether it be sending kids overseas for education or exclusive school catchup areas developing for the mega rich.
I don't like private schooling on principle but in practice I think it's a much more complex and nuanced issue and flat abolition could harm poor kids in other ways for at least a generation in other ways anyway.
Another one to be filed under 'it's not as simple as you make out'.