Do you think they should reduce salary for people who have paid off their mortgage? Those people also have lower cost of living.
Or does it only count if you're talking someone's sole and primary mortgage and where that's physically located? Even mortgages can vary wildly. In my city I can buy a condo for $100k or I could buy a mansion for 5 million dollars. My cost of living will vary drastically depending on what I decide to get.
If there's enough remote positions and they're generally seen as equally desirable as in person positions we might even see everywhere going to a single market within national boundaries regardless of remote or in person, which would be quite interesting.