squeak, our posts crossed.
Indeed you may be correct that it is a communal responsibility to subsidize the non-wealthy. But how can such a mechanism be enforced? I think it cannot effectively be done so. Therefore the only alternative is to fund it vis-a-vis the wealthy parents. I see no alternative.
You have not addressed GAW’s point if a parent of 10 children after is all said and done CANNOT pay 3500 – 5000 per child. I doubt you suggest Public School.