The level of teaching at my daughter's private school was off the charts better than my son's state school. We went private after the poor experience the first time round, and only for secondary school.
What should exercise us all more is the lottery of schools rather than the relatively small number of privileged people. In my area we have some outstanding (not just from Ofsted) schools and some really poor ones. I don't get to choose which one my child goes to. That's the same for everyone but the standard of education isn't. That pisses me off.
Why do we get Governors choosing the heads of schools when they are just amateurs playing at education? It's a farce. We had a head of Governors at our school that treated the role as her personal kingdom and picked someone she could manipulate who was clearly crap, with no charisma or leadership skills. The school went from outstanding to special measures in one Ofsted reporting cycle. Unfortunately that was almost my son's entire school career. Also unfortunately I only found out about the head of Governors after she had to resign and the head teacher she had chosen was sacked.
Whatever the shortcomings of local authorities running schools I don't believe this mirage of local democracy in education works better. It's just a sop to parents to think they've got more say. You want to send your child to a maths academy, rather than an arts academy or vice versa, well you can't because there's no chance of going to anywhere rather than the local school.
I didn't send my son to private school to get a superior education, although he undoubtedly did. I sent him to get as good an education as the better state schools. If you have access to that then you're very fortunate. In parts of London some teachers have to commute over an hour to get to school because of the cost of local housing. It massively affects the level of education children get because there is a huge churn.
I don't know why successive governments can't get education right but it's nowhere near right (not the fault of individual teachers but of the entire system) and that's what should be exercising us all, not the privilege of a few.
OP I do think schools had to keep down prices during Covid and absorb some of the costs. That plus the cost of energy and food has put up the prices of running schools as well as the pay demands for individual teachers I should imagine.