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.