There's Hysteresis to this

Had housing been affordable you'd have a much smaller and easily manageable homeless population. Now even if you fix the housing problem the chronically homeless that restrictive housing helped create won't just go away. You'll need social services and such.

Other examples of this are Houston which more than halved their homeless population in the last decade, and Tokyo which saw its homeless population drop when they deregulated housing construction.

I'd also point out places like Detroit, Memphis, Milwaukee with a lot of poor urban people don't have west coast/NYC/Vermont levels of homelessness despite a lot of concentrated poverty, drug use, etc. The difference is housing.