People have always wanted to buy homes to live in. I'm talking about the large increase in prices in the last 2 years. [negative real] Interest rates are definitely a big reason for the asset appreciation.
Even if that is the case, SFH for being stupid not interest rates for being low is the proper scapegoat.
The rest of the inflation is due to pandemic-related supply side dysfunction, and fossil fuels which are even more subject to random things like OPEC whims.
Raising rates to bring down SFH prices and not reforming the SFH system would be colossally stupid.