I felt you minimised to the point of denying any stake of the churches in church schools.
I suggest you may want to actually read what I said and then actually learn about the financial rules/obligations for the various types of school, the most relevant here being VA schools.
I said:
'There is no requirement for the CofE or RCC to provide a penny toward the running of a state faith school.'
And that is 100% correct.
There is a requirement (although it isn't actually met or enforced) for VA schools to contribute 10% toward certain capital expenditure. However that obligation rests with the Governing body, not with the church - so their is no obligation on the church to provide a penny. And that obligation on the Governing body is met in exactly that same way as every other school's fund-raising. Basically via their PTA and their parents. So the cash comes from the parents, not the church.
And in terms of the actual amount it is tiny. The RCC claims that its community contributes £20million toward its schools - note first the careful wording, not the church, but its community, which means parents at its schools or through other self generated fund raising, so renting halls or sport facilities etc. But the funding to those schools equates to approx. £3.5 billion, so that money is about 0.5% of the cost of running the school. And that is basically the same regardless of the type of school. All schools fundraise and all have a proportion of their expenditure based on those funds raised themselves.
When you put it in terms of children - it equates to perhaps £20 per child per year. If a school is only raising that through its PTA etc then it is a pretty poor PTA or fund raising operation. Looking at the schools in my area the rough figure of self generated income per pupil is about £700 per annum. £20 is in the noise and effectively an irrelevance in terms of any meaningful obligation.