Ideally, housing should rise near inflation. You most certainly don't want it to go down significantly, or there will be knock-on effects in the larger economy.
To buy a house, you put money down and sign a mortgage. Over 30 years, you use that mortgage to build equity. If prices crash, new homebuyers potentially get wiped out or even end up "upside down," where they can't sell because they owe more money than their house is now worth. This was a prime contributor to the Great Recession.
Suppose the rules changed so that some authority guarantees your right to sell your house at the price you bought it, but only at that price: when you find your next home, you get back the cost of your old one, which is then auctioned off to its next owner. Individuals are protected from falling house prices and no longer treat their homes as investments. The authority takes on that risk, now distributed across many homes, some of which appreciate. How do you think this would play out?
As shittily as every other "experiment" in human history where someone thought they were smart enough to set all the rules for other people and treat them as if they were too stupid to make decisions for themselves.
To buy a house, you put money down and sign a mortgage. Over 30 years, you use that mortgage to build equity. If prices crash, new homebuyers potentially get wiped out or even end up "upside down," where they can't sell because they owe more money than their house is now worth. This was a prime contributor to the Great Recession.