@Marchesman - I think it depends on how bursaries are funded.
I may be wrong, but I think at Eton, they are fully funded by the external endowment which has grown to 600 million plus (and obviously makes gains years on year, subject to performance of what I assume is the equity and fixed income performance of the underlying portfolio, rents on real estate - to be honest, I am guessing). These public schools can also tap further into rich alumni who will now be incentivised to leave even more money when they die to these schools as that is free of inheritance tax and if you gift enough of a percentage of your estate to a charity (which the Eton endowment fund is) then your estate pays less tax! Which this lot will definitely do.
Labour can keep bluffing about stripping charitable status but they simply cannot do that due to the enormous and hugely significant roles charities play in our society. Essentially, they fill the state’s failures, as they have done in small SEN schools with charitable status.
Eton will probably have to give bursaries to more parents now, including middle class doctors, but as long as they are willing to ask, they should get.
As for other public schools, they will have to take more day pupils and go out and tap into their networks to get funds from alumni. All the rich will be doing everything they can to avoid inheritance tax.