That's the exact opposite of what happens in the real world.
In the world the state builds and owns a lot public housing and this depresses rents and property values.
Countries stop doing this when policy is captured by neoliberal dogma. The UK is a perfect example. Housing was relatively affordable before a disastrous "right to buy" policy in the 70s, with extra enforced restrictions on state house building, destroyed the national housing market.
Now most housing is unfeasibly expensive. And hundreds of thousands of properties stand empty because they're owned solely as investments.
This is excellent for private landlords, property speculators, and older home-owners. It's an utter disaster for everyone under the age of forty because rents are unaffordable and ownerships is unimaginable.