It's not guaranteed and in fact, what you'll likely see is continued home price growth as people pile in the "now or never" mentality as rates increase and mortgages are harder and harder to get a the historic low rates (see Canada).
But in the long run, when mortgage rates go from 3% to 6% affordability goes down - people buy based on monthly payments, not the size of the loan.
Of course if wages drastically increase, the affordability issue could be blunted.
Obviously it is not guaranteed bro. We only have history to base these assumptions on. The history backs the fact that housing prices will not go down - unless there is another major issue like the fraud during 2008, which seems unlikely but not impossible.
Nothing is a guarantee. Silly to base your argument on that. Nothing is for certain.
Interest rates and home prices both roses during the most recent period of rising rates (2016-2019):
https://fred.stlouisfed.org/series/FEDFUNDS
https://fred.stlouisfed.org/series/USSTHPI