Well, if they keep buying once there are twice as many housing units as people that want to buy them, they’ll go bankrupt and no one will buy their assets at a reasonable price. So that problem solves itself.
I used to think that, but they influence (read: buy) any politicians and regulators who adjust the policies (the pols benefit by knowing what they're doing also) - either they shift the approach, or exempt themselves.
And do what with it? If they do nothing, they're paying property taxes. If they rent the units, that's housing on the market. If construction continues faster than people move into the city, rents will go down.
> corporate and foreign wealth
These terms are dog whistles. Unless you want to argue for something Marxist, but then "private wealth" would suffice.