Greece is very different so pointless using them as a reason against charging vat.
In what way? I'd like to hear why it would be different here.
An Economist article I read from 2015 about Greece's issue was that a) the big, richer schools were unaffected but b) the smaller schools went bust, and all the jobs went with them. Exactly what people are warning of here.
We have three private schools in our immediate vicinity and, in a rural area, they are by far the biggest employers for miles around. One school is making a loss, the other two are only just breaking even (literally only hundreds of pounds margin). These are the schools that are heavily at risk from this policy. People may not choose to move their children, but they'll have no choice when the smaller schools with fewer than 300 pupils start folding.
So, basically, just like Greece.