There’s no reason the local government budget should increase at the same rate as the property values in the taxed area. Property taxes should generally increase at the rate of inflation not because property values increase.
However, where I live local government is wildly inefficient. So in that case property taxes should go down while property taxes go up via the expedient of competent governance. Alas.
> There’s no reason the local government budget should increase at the same rate as the property values in the taxed area.
There's some reason. City workers may need to live in the area. If housing becomes more expensive, the city may need to pay higher wages.