That's not going to get rid of homelessness. People with severe and enduring mental illness, or addiction, might need support to stay in their cheap affordable housing.
That ship sailed, badly. Democrats don't like mental institutions (evil, scary, and corrupt) and Republicans don't like in community projects (bringing the insane to our homes), so both solutions got trampled. To be fair, both sides have their points, but the problem is a spectrum. We really do need top flight institutions that are safe, healthy, clean, and well monitored. We also really need community outreach and assisted living. Our current policy of drugging people to the key of G is not really solving the problem (looking at you VA).