Inflating our way out of this mess is a perfectly valid solution, it’ll only take 10-12 years or so. Sales will continue to decline in the mean time.
p.s. UBS Chief economist disagrees with you, he says one of the reasons why the housing market traditionally doesnt fall is because the bad times have coincided with rampant inflation (thus saving home prices, not real home prices, but saving the illusion that housing doesnt fall). We do not have rampant inflation and therefore housing prices have to fall for equilibrium to be achieved. Either you have lower transactions or lower prices, simple econ 101.