Even if you built additional 25% of more properties the algorithm can take 20% off the market with a single pricing decision for months before landlords decide the vaccancies are not worth it.
Buildings don't move, and they're already expensive. Software that enables and enforces price fixing across markets might have exacerbated temporary inelasticity by local zoning, high reliance on import building materials, and restrictions on certain materials or construction, but the system wasn't built to handle a single company with $10T in assets buying up the nation, let alone an industry around it.
Blaming anyone with an economy smaller than a nation state just doesn't explain the scale and timing of the effects.
Why is this happening in communities in the rural South where there's plenty of room to grow? Who's buying up minority communities, inflating prices so that home owners can't afford the tax increases, and then buying those properties from under them and renting them back at a higher rate? It's not anyone you who they'll ever meet at a local town hall or whose home they can march up to to protest, that's for certain.
Like I keep pointing out: if they're so good at raising the prices by more than a percentage point or two, why aren't they jacking up Houston prices to San Francisco prices?
And there is such a thing as pricing power which enables certain actors to control prices without dominance, even then.
But the algorithm is simply not capable of creating San Francisco prices in Houston, because "supply and demand" carries more weight than the algorithm.