Again,
ON PAPER your math works because you’ve narrowed down the problem to a conveniently limited set of variables that, in a controlled experiment, would produce ideal outcomes. And just like physicists keep learning time and time again of late,
just because the math works on paper doesn’t mean the thing is real.
Yours (and every other detractor trying to eSplain Econ101 and market forces to me) ignores the complex realities of the marketplace. It ignores tax structures that benefit demographic groups over others in homebuying and wealth accumulation, incentives to hoard property for passive income through rent in lieu of releasing the property onto the market for sale, tax savings for owning secondary properties or rolling over capital gains, regulations that make teardowns harder until the structure is condemned and thus constrict supply, of homeowners who will go to extreme lengths to preserve paper valuations instead of building more housing.
Taken as a whole, with all the variables, and it’s readily apparent that it’s not “simply” a supply and demand issue.