Earlier quoted context omitted.
A lot of people simply won't sell in that situation which is going to further constrain supply.
you think people are going to pay mortgages they are massively underwater on? This also ignores the fact that the Fed's stated goal with raising interests rates is to increase unemployment to slow inflation. You are already seeing the results in quarterly financials. Once layoffs start happening people won't have an option but to sell when they can't make payments
The payments might be comparable to if they got a current rate mortgage at the current value.
There's reasons it would be nicer to have a lower loan balance at a higher rate and the same stream of payments, but it's probably not worth the cost of moving and a foreclosure on your record.