1. Property tax is not land value tax, and "high property tax" does not behave at all like a quasi-land value tax even if land value is a component of the property tax.
2. No, it specifically makes sprawl very expensive relative to density, and economic decisions are largely made on a comparative basis. LVT makes it free to increase the density/productivity of your existing lot, while taking ownership of another lot (more area) introduces a huge new tax burden that you have to put to very productive use very quickly.
It's way, way cheaper to increase density than sprawl under LVT.
2. No, it specifically makes sprawl very expensive relative to density, and economic decisions are largely made on a comparative basis. LVT makes it free to increase the density/productivity of your existing lot, while taking ownership of another lot (more area) introduces a huge new tax burden that you have to put to very productive use very quickly.
It's way, way cheaper to increase density than sprawl under LVT.