As far as I can tell, LVT only achieves what it sets out to do if it’s equivalent to market rent.
As in, you never really “own” your land, you’re just renting it from the sovereign. If you can’t make good enough use out of it to afford that rent, you should move on. You can find comments on this thread that make this argument explicitly in terms of “maximizing land use efficiency”.
This was the economic structure of feudalism. It … wasn’t great. Private ownership of land has its own tradeoffs but a few centuries of historical experimentation in both directions has been fairly decisive.
How is that LVT "rent" different from any other traditional property tax being "rent"?
As near as I can tell, it is just a different way of deciding how the property tax burden is levied.
Downtown property gets taxed much more. Un-developed speculation property that doesn't contribute to the community (and derives value from other people's contributions) get taxed at the same rate as nearby developed property.