I dunno about America, but Australia has the problems you listed, but we also have problems with tax incentives to investing in housing rather than investing elsewhere, which also helps push up property prices by increasing demand without affecting supply.
Both can be true, we can put pressure on all fronts
Also homes could be way cheaper if zoning were fixed, density were legalized, and property taxes were retooled into a land tax
I dunno about America, but Australia has the problems you listed, but we also have problems with tax incentives to investing in housing rather than investing elsewhere, which also helps push up property prices by increasing demand without affecting supply.