It's going to be a long struggle. The British education system has had a big hand in warping the British state and causing the unequal mess we have now. And it is also itself a part of the unequal mess.
We'd be better off without private education, both in educational terms and in regard to wider society. The '45 government dodged the issue when it should have been faced, thanks to Clem. (Though he did a lot of other good stuff of course; still by far the best British PM.) Similarly successive Labour governments.
Now it's much harder, of course. The posts on here point this up. But it's still worth attempting. VAT on private school fees is a necessary part of the battle for societal equity. It's a small enough step but I for one am glad to see it.
(Oh, and @FourSeasonsLobelia, I'm one of your 'educated, aspirational and solvent net contributors' (though I spell that latter word differently from you). "Fuck this for a laugh" indeed: but I'm planning to stick around for a bit and try to help fix things. My aspirations have ethical content, you see, I suppose partly because I wasn't privately educated.)