Only that doesn’t happen in real life. People on the brink of poverty don’t inherit property. And if they do, they can always sell it and put that money to better use.
What makes you think that poor people don't inherit property? There are lots of people with very low incomes but who own a house. And no they don't just sell it. Why sell the only house you have? Or maybe it is not their house but it is a piece of property that they have always owned and which they use as a garden or a yard or storage.
They don't sell it because they'd rather have a piece of land to enjoy then some money in the bank. It might be their only luxury in an otherwise frugal life.
In an LVT world, the value of land (overall-inflation-adjusted) should basically track the population, and virtually no one will own land they could no longer afford to buy.
If a freeway exit gets built a block away from my house, my taxes will reflect the value of a Walmart or whatever instead of my house.
LVT is just bad policy that sounds ok in concept. In my city, inner city residential property is near worthless once it falls below section 8 standards. The taxes are low too as result. With a LVT scheme, someone would cook up some “true” value subjectively, which has obvious potential for abuse.
LVT serves a few different interests and is sold as a cure all. Kinda like the “gold bug” of tax policy.
What is a better use than property? I though property was the best investment one could make. The government taking property because of a lack of income to pay taxes is heinous.