I feel we are deluding ourselves thinking there is widespread interest on this issue or will be if only people understood the policy better.
Some newspapers maybe interested, especially the Telegraph, which seem to have a strong preference for the status quo (and an obvious anti-Labour editorial position)
But vast majority of public don't even think of it.
The only survey on this from YouGov in January shows a clear preference for the policy (62% support, vs 21% oppose). https://d3nkl3psvxxpe9.cloudfront.net/documents/Results_PrivateSchoolVAT_Jan24_clean.pdf
And it is broadly cross-party. Even majority of Conservative party voters support it (54% vs 30%) with much stronger support among Labour and Lib dems.
It also feels a bit patronising to say nearly two third voters support this motivated by 'politics of envy' or they do not understand the impact the policy is going to have on their lives.
Most people support it because they, correctly I think, perceive that it will raise some revenue without affecting them.
For example, house prices are already very high near most good state schools, and vast majority of parents who can't afford have resigned themselves to the situation long time ago. Marginal effect of, say, hypoethtical 10% or so, more buyers arriving in the area to lift prices up further isn't going to dramatically alter the situation for existing state school parents.
But it will be great if private school parents can influence the policy details by providing valuable input, lobbying, publicising its impact etc to minmise the harm to them.