I certainly think the fed should stop to build the bubble, but it should also not go all in and crash everything.
Less housing demand presumably means less home construction and renovation, which eases the strain on supply-chain limited resources. Lower home prices also reduce the amount of equity sellers, or HELOC borrowers, can spend on NFTs or whatever [1].
Imagine an ad infinitum example. Let's say the price of gas goes to $1M a gallon. The fed then somehow removes every dollar from the economy. The price of gas is still going to be approaching zero when denominated in dollars after demand is forced to zero(in reality the price of gas would just change to be denominated in physical violence in this mad max scenario but that's an aside)
If someone want they can get a free lunch, no need to increase the rate but everyone else lowers inflation for them.