No, they aren’t ‘awash’. There are 8 private schools within about 10 miles of me. A couple of oversubscribed outstanding state schools. Mostly special measures academies.
I know a few families with kids in the private schools. None are rich. 3 are paid for by grandparents. They will be leaving as grandparents can’t afford the extra cost for the length of time remaining. Another is on a sports bursary. Again he will be leaving so can kiss goodbye to the elite partnerships with international placements that his school could offer.
The other 2 are paid for by 8 figure salary absent dad. They will always live a life without wanting for anything. Mum is a nurse so if he starts pissing about with child support, which he has in the past, this will become a problem.
So no, not awash, but will be far fewer working class students in future.
This might not bother you but as a former teacher I know that the line that kids are resilient is a load of bullshit. They aren’t. Change is hard. This is going to damage their education.
But as long as the have nots get to stick it to the haves, that’s the most important thing.