Not really. The majority are second rate and many pupils have to go into state schools for some subjects. Yes the better public schools should be emulated in terms of investment, which can be absolutely massive.
Underfunding the state. Overfunding the private. Not difficult to understand!
The problem with schools is they use the money/funding grab as an excuse and avoid discussing what improves outcomes for students per unit of measure.
Clearer rules, better organization and minimizing nonsense. But that kind of thing is the antithesis of the ultra liberal - measuring success by outcome...or actual success rather than whether or not you followed an ideal.
And also dancing around what creates a household for a good student - the same thing, basic rules, a reasonable family. There is far too much excuse making for the effect of that - two parents at home, whether two men, a man and a woman or two women - two parents, and someone checking in and encouraging students.
The idea that "society can take up that role and the family isn't important" is sheer stupidity. And its' a difficult thing for people to talk about because the kids of unsuitable households or just incomplete aren't at fault - so it's danced around. And who will pay for it in the future? Some percentage of the next generation of kids.