"Congrats, you have won the lottery, now you have to move somewhere way cheaper - probably because it doesn't have many of the features that drew you here in the first place!"

"All because a bunch of people with more money than you are now willing to pay a bunch of money for your neighbors' places."

I think laws and policy should exactly be focused on protecting those who have less from the impact of those who have more. Not because they're morally superior or anything, but just to try to keep things balanced because the people with the money already enjoy so many other advantages.

Moving is hugely disruptive to people's life, so the ability to plan expenses - both for property tax and in terms of rent control - has a lot of non-financial appeal as a policy. "Make people move when folks with more cash want to come in" is at best a somewhat heartless position, and at worse a major driver of homelessness.