I'm in Texas, a state with pretty high property tax. We've also seen a ton of appreciation in recent years. Booming economy, transplants from other states, then the COVID factor. We also have a near free market on rent; I've been a landlord and not aware of any limitations. There are a couple limits on property taxes (namely a cap of 10% increase per year on "homesteads", and an Agriculture exemption for rural properties). But for most people in the towns and cities, this means our property tax bills have been growing 10% a year for probably the last 15+ years. So, the problem we're having now is people that have owned a home for decades or even just 5 years are finding they get forced to sell because they can't afford the tax bill. Since housing has appreciated, they're not just forced to sell, they're likely forced to leave their community for another cheaper place. I don't think it's right to lock up land/property forever, but I do think people buying property should be able to predict whether they will be able to afford to continue living there as they age. Even rather young families are dealing with this.
I personally think it's awful to see elderly people getting priced out of a house they've owned for decades, young families have to move their kids in their high school years because the taxes have become unmanageable, how it disproportionately impacts POC as gentrification occurs, and all the other ways it impacts people's lives who just thought they were buying a house to set roots for their lives/families but then externalities cause it to suddenly become unaffordable.
It's extremely perverse when you consider that these people's tax dollars are often used by politicians to encourage the very "growth" that contributes to their affordability problem. They court corporations and give huge tax breaks to move their offices/factories to Texas, which drives up the demand for housing, etc.