I’m opposed to anything that makes it less attainable to people however I think it’s a bit of a storm in a tea cup.
The government are unlikely to gain anything like the money they suggest - I think Labour will be happy if they can make it stick and Starmer can show he really is a leftie after all and the schools/parents will be happy if it doesn’t hurt.
Ultimately schools have the power here IMHO, if the worst came to the worst and they were in danger of losing kids to make themselves unviable then these schools could make everyone self employed, treat everything as private tuition (this is exempt from VAT) and just act as a billing service provider thus exempting themselves from VAT. Good luck challenging that HMRC!!