Not conflating them at all. But the VAT debacle has made me realise how poorly private schools are treated, how unreasonable the state expectations are on private school parents, and how little I now want to help people who seek to harm my family.
Now that I look at it (due to the introduction of VAT, and the discussions which have followed), I see that the expectations were always unreasonable - even before VAT and the removal of business rates relief. With those added, it's frankly laughable for anyone to have any expectations at all of us giving even more.
Labour have now pretty much entirely removed any tax benefits for being a charity... but only for private schools. So other charities - who do actually get tax benefits - can continue to provide "public good" benefits in addition to their own charitable goal, but I'm against any private school I'm paying for continuing to do so.