But when interest rates go up, the price of homes will drop.
Sal is an average American. Sal can afford $1500/mo for a mortgage, regardless of interest rates.
Today, Sal can get a 3% rate, meaning they can afford a $440k mortgage (with 20% down payment).
If interest rates rise to 6%, Sal can now only afford a $310k mortgage for that same $1500/mo.
If Sal were the only person who had this problem, then Sal would have to settle for a cheaper house than average. But if 90%+ of buyers are in the same situation, then the housing supply will be overpriced compared to what the market is able to pay.
This drives the prices way down, and it would eventually settle to the price that the market can bear, which might be slightly more than the $310k, but probably not too much.