Property taxes have a component that redistributes wealth from landlords to the working people, but it also has a component that penalizes making better use of the land. The former is usually called "land value tax" and the latter is the part of the tax that is proportional to the improved value of the land. The latter part incentivizes some uncertain amount more towards mcmansions and away from multi-unit buildings.
Property tax also encourages speculators to hold and trade underutilized parcels compared to land value tax. With property tax, the penalty for holding an empty parking lot in a dense urban center is much lower than under a land value tax system.