...except that their greediness of wanting to own everything is precisely what made houses explode in price in first place.
If you want to fix housing prices (or if you just want to screw over these corporations for funsies, which is fine) then you want to increase the supply of homes: that is, you want homebuilders to build, build, build, build, build, build, build — and where necessary, you want to drive the political reforms that make this possible. All the evilcorps™ are betting that you won't — and I'd bet that too, given where you're focusing your attention and efforts.
We have a history of similar measures to draw from. In the 1950s lots of people believed that banning single-room occupancy buildings was the proper solution to a lot of problems - they were small! they were inhumane! they are associated with crime! New York City lost about 100,000 units, mostly converted into two-bedroom apartments, occupied by good people™ who belonged in families. "Consequently," said activist George McDonald in the wake of this policy, "people sleep on grates outside."
Maybe your laws won't quite achieve this! But to the extent they enjoy success in influencing housing prices, they will be harming those who cannot afford homes.