Make no mistake, the Left wants to get rid of private landlords, at least those who aren’t politically connected. They want to dictate where you live.
They don’t want to get rid of them; they want them to serve the interests of the government instead of themselves (just as many large “private” companies already do). If they can determine who you house and for how much, they are fine with maintaining the illusion of the independent property owner - or else nobody would operate rental properties.