He did not put policies in place because while this practice did exist before the pandemic, it accelerated because of the pandemic, so it didn't really become the evident problem it is now, let alone reported on until recently. So the deflection to "but trump!" doesn't work here, sorry.
As per even CNN, not FOX or newsmax, etc
Pension funds, investment firms and Wall Street banks are snapping up family homes in Europe and the United States at a rapid pace as prices rocket higher, looking for alternatives to lockdown-hit office parks and shopping malls, and betting that a permanent increase in remote working following the coronavirus pandemic will keep demand for suburban houses elevated.
https://www.cnn.com/2021/08/02/business/family-homes-wall-street/index.html
This trend has accelerated because of shutdowns due to the pandemic, shut downs which are largely from democrat ran states. But regardless, with things shut down, small businesses crushed, people now working remotely and not in office buildings, commercial real-estate is in the dumps, so they switched to residential.
And yes, Trump was a big fan of Commercial real estate, dunno what that has to do with residential? Seems like yet another weird deflection?
But what Trump did show he would do, which a lot of people including the GOP are scared to even talk about are tariffs, which would likely be considered anti-capitalism as you say, as it is not free trade, and hurt big businesses wanting to get cheap stuff from China, etc. Preventing firms from buying residential property would be like domestic tariffs in a way.