The people who don’t want houses aren’t the issue. They can choose not to have one, fine. That’s on them. Housing first has been very successful in certain European countries and cities. A safe place to live is the FIRST step to solving all of those issues, not the pot at the end of the life improvement rainbow.
Just getting people who DO want to offer the street dramatically improves mental health issues, substance abuse issues, lessens their strain on healthcare systems, lowers crime rate… it’s the obvious first step.