@oiltrader, in the US local property tax is a % of property value, very roughly calculated at about 2.5-3.5% of land value charged annually. But it funds education and school budgets including the bus, police, and all the amenities including parks, libraries, museums and garbage collections. So naice high value suburban areas have great schools and lovely facilities, and trailer parks in former rust belt areas don't.
I do understand your starting point; the difference is that in the UK (which is unitary) everyone expects public services to be of a similar level standard across the whole country. And it can't be, because the taxpayers who pay 9x the basic level and only get vanilla service in return, don't feel they should be fleeced.
An example, anecdata. I have friends in California, living within 10 miles of San Francisco and working in a high tech business. Their property taxes are very high. But they can see the other end of the Golden Gate bridge in Oakland, also California and also close to SF, where property taxes and property prices are much, much lower. But Oakland schools are bad, services indifferent.
People buy where they want to live -- depending on their income and circumstances. Yes, we'd all prefer to live in Belmont but the house you want costs $5m and the same space in Oakland is only $2m, but the property (council) tax may be the deciding factor. There is a reason that car parts are far cheaper in Oakland than Belmont, because more people in Oakland do their own maintenance. Oakland's employers are warehouses, Belmont residents work for Microsoft.