But the truth is the decline in buying is because there's nothing to buy. A person eventually sells their house for any number of reasons. A corporation using rental as long term investments never will, and the biggest don't care about interest rates because they're making cash purchases anyways.
I'm not saying high mortgage rates aren't a problem, I'm saying they only are for people buying housing to live in, and those people can't afford to buy regardless of interest
It's a few things, at least in my experience house hunting.
High prices
High interest rates
Limited availability due to people being locked into low-rate mortgages
Those three items, in combination, are a death sentence for anyone wanting to enter the market. Hell, my 800 sq ft condo is going for over 650k now, which is a great litmus test for how absurd prices are right now in my area.
Big rental corps will absolutely sell buildings when they think rents are too low. They'll sell them in bulk to some other big rental corp, though, not piecemeal, one-by-one, to owner residents. Too much overhead and time in a couple hundred individual transactions when you can just do one deal.
Can only speak for me, and the people I talk to, but the rates are less the issue. It certainly factors in, but the high total costs with no adjustments to wages means we've fallen into a gray zone where we really don't want to rent, but are forced to. I work in a hospital, and the people over ~40 are in houses that they are deathly afraid to get out of, and those of us under ~40 are renting, hoping something changes, or an asteroid strikes. Either one would be good, now.