Socialism is a left-wing political, social, and economic philosophy encompassing a range of economic and social systems characterised by social ownership of the means of production, as opposed to private ownership. [0]
Government ownership of housing, as opposed to private ownership, is unambiguously socialist policy, regardless of policy intentions.
> specially if you're smart enough to provide your tenants with supermarkets, bars, etc, which isn't difficult if you pack enough people and provide space for bussiness in the ground floors.
Here's the issue with central planning. How does the government know which services residents will find desirable? This difficulty is known as the local knowledge problem. I don't drink alcohol; why should I be forced to pay for a bar I don't use? And more importantly, why is the government encouraging an activity that causes the death of 140k Americans a year?