At $50 a month begging will easily cover rent. I embrace your reductio ad absurdum. If housing is cheap enough even people with serious substance abuse or mental problems can afford somewhere to live. The lower rent goes the better because even in San Francisco neither junkies nor the insane are a majority of homeless.
Hong Kong has really, really high rent but you don’t see people sleeping on the streets because shitty housing isn’t illegal. You can get a bed in a shared room. I wouldn’t want to live 18 to a room but it beats sleeping on the streets.
This is all about property owners zoning everywhere so cheap housing is illegal. Just making flophouses/single room occupancy legal again would make large improvements in the homeless situation.
Make building housing legal again.