What's the purpose of buying a house if you can't stay in it more or less indefinitely? (Yes, I know people sometimes buy houses planning to only stay in one place a few years, but I would wager most don't.)
You can stay in that house as long as you pay the property taxes. If you can't pay the property taxes, that is a forcing function to get you to move. You aren't entitled to live somewhere all your life. You aren't entitled to have your taxes be subsidized by the next generation of folks so that you can keep living somewhere. It is placing the burden on the next generation of people because you happened to be there first and creates bad market incentives.