Ms. Friedenbach, you make yourself and your ideological camp appear naive and out of touch. No doubt, there are a handful of gainfully employed, productive and law-abiding citizens of SF who are homeless solely or primarily because they cannot afford an apartment. I am sure that the time they are forced to spend living in shelters, sitting on the BMR housing waiting lists, and looking for better opportunities in other cities with more affordable housing is painful, degrading, and infuriating. That sucks.
As for the other 6600+ of SF's 6700 homeless population, it's not going to make any difference whether housing is $10,000 a month or $100. These are people with no marketable skills (not even the ability to show up), no desire to work, major addictions (usually following multiple treatment interventions), severe mental illnesses, a preference for the street lifestyle, or some combination of those. Most live in SF not because they were born there or because they have jobs or family there but because there is no freezing weather and the City is accommodating, like spending a large fraction of the $330m SFFD budget sending trained firefighters to pick up the same few hundred people twice a day every single day of the year. All the free housing in the world isn't going to get them off the streets.
Bitching about the cost of housing in SF is fashionable. But I would really expect someone who works directly on the problems of homelessness and with homeless people to know better. The cost of housing is at most a very minor contribution to the problem. When you can show me that most of the people in the City who are homeless have jobs and are reasonably healthy, it'll be time to pin the blame on the housing market. Until then, get serious about addressing the real problems, or just accept that you're never going to and stop pretending.