Regulations can be made that prohibit ownership of residential properties by companies with certain structures, require that these companies list the true beneficial owner(s), etc.

There will always be loopholes and attempts to find them, but that shouldn't necessarily be a deterrent to taking action.

About 70% of my investment income comes through indirect and direct ownership of residential and commercial property. It's just too easy for the wealthy to come in and buy up properties to price others out.

Hypothetically, why can't you only allow private individuals to buy houses in a residential area? I honestly see no real issue with this in many communities.

easy enough to block that with a restrictive covenant too