Conventional property taxes already cause tax foreclosures on homes. This was a big problem in Detroit, where structures were systematically overvalued, forcing a lot of people out of their homes. Land-only assessments are arguably much easier to pull off than land-plus-house assessments.
LVT concentrates development efficiently. It would actually increase green space, since people wouldn’t have to develop sprawling exurbs to escape high rents (too little housing) in the city center. So no, LVT would produce significant quality of life improvements over what we have now.
Not in valuable parts of cities it wouldn't. The direct effect of LVT is higher cost of land and lower cost of buildings, thus incentivising more building and less bare land/green space.
LVT concentrates development efficiently. It would actually increase green space, since people wouldn’t have to develop sprawling exurbs to escape high rents (too little housing) in the city center. So no, LVT would produce significant quality of life improvements over what we have now.