no, in the US at any rate property taxes are scaled exactly by land value. Usual scheme is 1% or so of assessed value, which is typically recalculated yearly. Some states have "homestead" exemptions where the first, say, $150,000 of value on a primary residence is exempt from tax. There are also (at least in California) special assessments for a fire or water district that are put on top of the yearly property tax, usually because of state laws that limit the rate at which assessed value can be increased or super-majority provisions for altering property tax rates, and so on.