What makes you think that a black family living in public housing can afford to pay a mortgage? You really think people living in the projects can afford to just buy a house if they want to?
Without public housing, most of these families would either be renting somewhere or on the street.
You're ignoring the fact that a lot of these people would be put out on the streets. Sure it's a "distortion of the real estate market", but in the same way that food stamps are a distortion of the food market. These things are definitely abused sometimes, and some people get dependent, but they still prevent a lot of people from being homeless/hungry. It's a necessary evil.
i have no idea whether a family in public housing can afford to pay for a mortgage, mortgages and housing prices vary widely across the united states, so you will have to specify what part of the country you are talking about
without public housing i agree that people would be renting and they would also be moving to places where its cheaper to live and cheaper to buy housing
if people are living in the street, the government should provide temporary shelter until they find a place to live but that should only be temporary, when the government starts providing housing for generations of black families that creates a cycle of poverty and retards wealth building
you asked me a question, what does public housing have to do with wealth, and i answered your question, public housing retards the building of black wealth by 1) discouraging home buying and 2) in a roundabout way violating the economic and individual rights of the residents
food stamps are not a distortion of the food market, prices and supply of food dont change if people use food stamps, public housing is a distortion because it distorts the prices and the supply of housing
public housing is not a necessary evil, public housing is an awful policy and one of the worst government programs ever because it has been detrimental to wealth building in the black community