Investment companies own only about 2% of the housing market, and most of these are rented out. Investment companies aren't really the cause of housing prices remaining high - in moderate- and high-demand areas, we simply aren't building enough to keep up with demand.
Investing in housing only makes sense when supply is limited. The way to stop investors from hoarding housing is to make housing a bad investment by building a lot of it so cornering the market is impossible.
The De Beers cartel was able to avoid anti trust scrutiny because the best reserves are outside (Africa/Canada/Russia) of the most lucrative markets (US/Europe/Asia).
Corporations control only a small faction of housing supply.
That's not a different choice. LVT makes it more expensive to hold land that's less productive than it could be, the result of which is that development is encouraged.
I do really enjoy all the arguments coming up in this post that are pretty easily defeated by “build more housing”. No one has been able to come up with a compelling argument about why this doesn’t work.