> Of course all urban centers are so starved of entry level housing that anything good enough to minimally get a homeless person off the street (bathroom, place to sleep, maybe kitchenette) would also be swamped by everyone from the poor and working, college students, immigrants, etc.

I doubt it; one of the reasons that homelessness is a difficult problem is that some homeless people are very unpleasant to live with, which means other homeless people prefer to remain on the street rather than share housing with them.