The VAT issue was never about raising income. It was making a point.
I agree with this woman though. No, she shouldn't have to pay to transport her child 25 miles away to a state school. Her child should be accommodated where she lives. It's all good and well spending this woman's money for her, but nobody should be having to spend it on transporting their kid so far away, unless they've purposely chosen a school that far out.
And as for the suggestions that she should have just home educated her, presumably them having paid for a private education would say they value education, and thus don't want to deliver it themselves.