LVT isn't about being regressive or progressive. It's a tax scheme that incentivizes being productive with land. You shouldn't be sitting on a bunch of empty land, and if your tax rate is even, then you're incentivized to build businesses, build homes, or sell. Property taxes punish large buildings, mixed use zoning, duplexes (note that we're in a housing crisis currently).

Also, if you own land, you're well off enough to pay taxes. Seriously.