This is an unpopular opinion to be sure, but I believe in wealth inequality and income inequality, so long as the standard of living at the bottom is reasonable - and there exists meaningful social mobility. I'd rather tax it on the backend than impede the front end. This is just a matter of opinion of course.
I think that's probably a fairly popular opinion - I agree with it. I just don't see property tax as making any meaningful impact on the wealthy (in my area).
It's one way to reduce housing prices, but generally just increasing supply is simpler and more palatable.