Anecdotal, but I've heard this is happening in Hawaii now with vacation home prices skyrocketing, causing natives to get stuck with property taxes they can no longer afford.
You say they don't want to move out, can't they simply refinance? Take out $1M against the house. Then draw down on that money to cover the excess taxes you owe and pay the mortgage, this should get you 20 more years in the house, maybe more depending on how the market plays out, could be less if there is a recession but then you the alternatives are you lost the house already since you couldn't afford the higher taxes or the current system where all the new comers/people who relocate are covering for you.
Cities change. It's inevitable. If you can't make use of the resources your city or town provides and someone else can then you are forced out. That's a good thing for society overall and it benefits you too.
What would actually happen is they'd sell their house for 5x the price of the same house in a more reasonable housing market, and 10x what they paid for it, and move to a different location with a nicely multiplied bank account.
I'll acknowledge that some stability is good. But it has a cost, and that cost is currently much higher than the benefits it provides.