With a property tax, the total tax bill increases when you build upward and make the apartment block. If you take a lot with a single home on it, and then stack 9 identical homes on top, the resulting property might be worth 9x as much. That’d mean the renters of that bottom home still have to pay 90% of their old property tax.
With LVT, the tax bill is based on whether you could build up productively, whether or not you actually choose to do so. So if you stack 10 family homes on top of one another, the renters of those homes would pay 1/10th the land tax.
This shifts the relative tax burden toward lots which are less dense than their surroundings. Encouraging infill and discouraging sprawl. If it pushes some to build their single family home in the exurbs so that an apartment block can be built in the suburbs, that’s a net win.