It wouldn’t even be that much socialism. Just a smidgen of housing regulations and zoning. Limit corporate ownership and rental profiteering, like any responsible capitalist democracy should with any industry.
The problem is that an entire generation of homeowners wanted to ride the wave of residential deregulation like a fly on a windshield. Wheeee look at our property values skyrocket! We can retire on the capital gains alone! Fuck the next generation, what did they ever do for us?