I use private education so I have skin in the game, so to speak. I use private education because I think it is better than state education.
Which brings me back to my earlier comparison of other forms of privilege, which might seem like an unfair comparison, but I don't see a huge difference.
Why not bring all sport into schools at a decent level instead - part of the problem here started with the big sports fields sell off decades ago
Part of the problem is that if the politicians (and their friends) had children at the schools with the playing fields, they might be less keen to sell them off.
I personally think it's a disgrace that the Royal Family don't set an example by sending their children to state schools. A great counterexample is the Netherlands, where the current children of the King go to a state school (no doubt it's a good school, but still, I think it sends an important message).