Labour has voted to abolish private schools:
www.independent.co.uk/news/uk/politics/labour-public-private-school-abolish-eton-vote-conference-corbyn-education-policy-a9115766.html
Whether you agree with this or not, I don’t understand how the logistics would work. Would private schools suddenly cease to exist from say, summer 2023, with all pupils forced to find a place at the local state school for the autumn term onwards? What would happen to the buildings and facilities - would they remain as state schools or be sold off to developers for example? 