Earlier quoted context omitted.
Raising taxes doesn't "abolish" anything, it may make it less lucrative, but that's a far cry from "abolishment"
Depends to what level they are raised, of course. Making something prohibitively expensive and then saying "hey look you can still technically do it, it's just not worth your time and you have to really execute everything perfectly" is not super different from just saying you can't do it.
I personally think that primary residences should have a 100% homestead exemption, because I don't think you should have to rent your home from the State. And to make up that percentage of income, other real estate should be taxed a little higher. At the same time, there should be intelligent programs in place to make it easier to reach the point where you can own that first home. This last point would undoubtedly work best if there were either financial and/or statutory restrictions on ownership of residential real estate for investment purposes. So, in principle, it makes perfect sense as part of a larger goal of promoting home ownership. The conversation of how to best do this is of course more complex and there are many factors that need to be balanced - more than anything because high taxes raise rents, which would point towards regulation as an important part of the best way of dealing with this.