An LVT results in new McMansions getting built on quarter acre lots and being taxed at the same rate as SFHs and trailers on quarter acre lots. It's the perfect way to allow rich people to buy out poor people and pay the same tax as poor people. Welcome to unintended consequences. Institute an LVT if you want, but don't expect low cost housing to spring up.
> trailers on quarter acre lots
That is an irrelevant counterargument, since the idea of dense housing leans towards tall apartment buildings, not trailers. No one should have to live in a trailer.