Land value taxes are even better. Property taxes provide a disincentive to making the land more productive. A land value tax would incentivize residential landowners to build more units which provides more supply and would lower rents.
Almost all property people buy and sell is productively used, and separating the value of land and improvements is practically impossible. Edit: As a weird example, subtracting what it would cost to build my California house from its current market value gives a value for the lot far lower than the actual market price of an empty lot in this location. This isn't just due to the depreciation of the construction (2012)…
Retrofitting or tearing down a house in California is expensive. Particularly if it's an old house where there could be e.g. lead or asbestos. Clean lots (presuming it wasn't previously a laundromat) command a value from the baggage they clearly don't bring.