Mamatomany, we all pay for services we don't use.
I've never set fire to my house, can I have a discount from the fire brigade? I buy my own books, don't go swimming, can I have a leisure refund? When I worked, I had PHI and PMI cover incase I became sick, should my NI have been refunded in part?
As much as we might like to, we cannot pick and choose which benefits we want and will pay for.
If people want to send their children to public school, they can, but they can't also expect a refund from the taxpayer because they are exercising their freedom of choice.
I don't buy for one minute that public schools would go to the wall if they introduced VAT on fees. The schools would have to make efficency savings just like the rest of the education system in order to keep pupils on their books.
For those who decided not to continue on with private education, I doubt they'd just waltz into a place at their local super school. They've most probably missed the boat there, they'd have to go wherever would take them and get their names on the waiting list.
But don't worry, it isn't going to happen.