I see you are not understanding. You seem to think that there are only two possibilities: either have the crap taxed out of you on property taxes, or have the same amount sent to your State capitol, and in either case, the “services” rendered to you are invariant.
The third option, of course, is to switch all “services” to user fees so that they are paid for by those whom use them. This is what is done in Singapore, and is why that nation is consistently ranked as best for economic freedom.
Right now we have the first two options; I would be delighted to have the third. I’m not holding my breath, because the public school system would collapse immediately if it was only paid for by the “users”. The number of older people, as well as the younger generation that has for all intents & purposes stopped breeding (which has filled our school systems with “replacement Americans”), that would be exempt from subsidizing the public school system is staggering. The teachers’ unions would never allow that to happen, and they have their own political party to stop that.
My preference for a local property tax as opposed to county- or statewide redistribution was to cope with the reality on the ground, not idealistic wishful thinking.