It's the same problem -- you need more. Zoning regulations continue to prevent enough new construction, and the conversion of large lots/units into smaller ones.
I honestly don't know what you're proposing instead. But for some reason you're pessimistic about what all traditional economists agree on what is the solution -- remove more zoning regulations that constrict what can be built.
It's literally just supply and demand. Prices come down when you increase supply to meet demand. Just because increasing supply a little bit doesn't work when demand is increasing even faster, doesn't mean the basic principle is falsified. It's just that you need to increase supply much, much more.