Won't work for the rich, they'll either just invest in commercial property or setup a holding company, a variety of plans like this have been tried they only ever give very short term results and then become useless. Better to address the underlying causes than mess around with the symptoms
The way things are going, I can see a total ban coming for any kind of company buying residential houses.
The solution is not that hard. The hard part is navigating through all the lobbying and interests and finally coming up with a working solution that takes into account everyone's interests
However, If the CPC sees that noone is still not making concessions then they will throw out the board, make a total ban for the companies and then watch as a lot of people go to $0 wealth overnight ala tutoring ban style
President Xi made it clear that the CPC will now be guided by the "common prosperity so the wealthy should expect a different set of rules than before