Homelessness of this kind has very little to do with housing, if at all. What you've said here is all true as it relates to the affordability of housing, but that's not why these people are homeless. I've said it before, and I'll said it again: people seem to act as if the only two options are having a house in the most expensive city in the world, or being homeless in the most expensive city in the world. If I can't afford a house in the most expensive city in the world, my immediate thought isn't going to be "well I guess I can't live anywhere then, streets it is."