prices is stronger than the deflationary pull of interest rates. It is going to to be an interesting few years and very challenging. I still think median prices will be higher in 2 years due to inflation. New builds are going to end so we won't have much new supply coming on the market. I expect a 10-20% price correction but once we work through those that need to sell and new builds many will do what they can to hold on to their houses. I am still thinking this resembles the 70s more than the great housing crash, but there will be some differences.
In the past increasing rates have not meant decreased prices because the inflationary pull causing increasing rates is stronger than the deflation pull.
I don't see the cost of home ownership going down soon (house prices x mortgage rate). Right now that is still increasing.