From Husock: The Myths of The Pruitt-Igoe Myth:
Public housing today, even in the post-welfare-reform era, continues to give priority to those of lowest income, which, as a practical matter, means female-headed, single-parent families, who still dominate the projects and the Section 8 housing-voucher program. Census data from the 1950s makes it possible to compare marriage rates in white and black St. Louis neighborhoods. The numbers show that black marriage rates have long lagged behind white rates. In nine predominantly black census tracts, married persons (husbands and wives, not including children) constituted 16.4 percent of the population. In predominantly white census tracts, the number was 24.5 percent—half again higher, before the advent of public housing. Without question, the perverse incentives of public housing and public assistance worsened this situation. In contrast, the incentives created by the private housing market—to maintain two-parent households so as to pool incomes in order to get ahead—would have worked in just the opposite direction.
It's really all about help that wasn't helpful - or even wanted - and perverse incentives.
Related: The Left Is Still Ignoring the Costs of Family Breakdown. In my opinion, the Left ignores it because it creates more household poverty, and thus more government dependency. When has the Left ever championed family values?