Plank #10 of the Communist Manifesto: Free education for all children in government schools. (https://laissez-fairerepublic.com/TenPlanks.html)
People value things at exactly what they cost them.
They value free government-school education at zero because that's what it costs them.
That's why public education eventually devolves into Communist indoctrination centers and chaos.
The school system we have is derived from the Prussians, who invented it so that they could train farm boys to obey and become good soldiers after Napolean Bonaparte cut through them like a hot knife through butter.
Education does not have to take place in sterile education factories/prisons.
Proof is that home-schoolers are some of the highest performing students in the country.
Abolish government schools and there will be a demand for private schools, where teachers can be paid what their services command on the open private-school market.
I repeat: There should be no such thing as "public" education or government schools.
This idea is perfectly fine. It would take some time to build that equity of getting what you pay for. I could see it might help insulate education from influences such as CRT and similar because since you are paying for a product, you should get what you contracted for. The big question is can a school be run and afford to pay its bills? The school I was in cost over $5 million, which was borrowed from the state. You have to pay that back. Say you have 30 teachers, at perhaps 50k salary, that is a big chunk. That 50k salary is low around here based on cost of living. Overhead, investment in technology, etc. Its a big economic puzzle to solve. My school had 500 HS students, and many were at the poverty line. Say you had to hit $2 mil per year, which I think is low, that would be $4k tuition.