See:
* FTC: https://www.ftc.gov/legal-library/browse/cases-proceedings
Those aren't FTC issues regardless of merits, so they don't factor into FTC priorities. The first is mostly state insurance regulators, the second doesn't seem to be a violation of existing law (though it might be a legislative issue, mostly at the state or local level like most land use issues), the third is for the inspector-general or similar authority of the agency employing the contractor.
https://www.ftc.gov/legal-library/browse/cases-proceedings/2...
If you can find a single private equity firm doing that to a functionally bounded market to secure a monopoly on, say, rental housing, sure.
But that isn’t the complaint I’ve heard about PE effects on housing markets.
There is only one Amazon and I am sure the FTC is receiving a ton of complaints against them.
They're just profiting off of a supply shortage. Fix the shortage and they won't be able to make money.