Since I have taken Econ 101 and taught it, it’s worth pointing out that literally no one thinks this is how housing markets work.

You can draw a set of supply and demand curves which keep prices the same under a supply increase, but not bc “large corporate interests keep prices pinned.” More important is that that special case is not relevant to housing markets.

There is also relevant empirical work on this issue. Increase supply and prices will fall. I’d bet you a billion dollars on that outcome.