Housing is not the only way to escape inflation. There are several government bonds in the US that are fantastic for that. As would any productive investment.
Housing (or rather, land) is unproductive investment, and should be treated as piggy banks, not as a place where wealth grows like investments do.
> A 2014 study found that conventional U.S. Treasury bonds were persistently mispriced relative to TIPS, creating arbitrage opportunities and posing "a major puzzle to classical asset pricing theory."[22]
You seem to know things, is that arbitrage hustle still producing?
I don't have a good source of inflation swap prices, but I would assume it's persisted. It's not an easy trade to do leveraged, since your assets are marked to market. And there are natural buyers of vanilla Treasuries for collateral purposes.
Housing (or rather, land) is unproductive investment, and should be treated as piggy banks, not as a place where wealth grows like investments do.