Shoving people who need other supports into housing won't help homelessness for the people that need those other supports, but creating more affordability for people who need less serious interventions or are simply priced out of the market with help homelessness for them - whether those people make up the "majority" of the homeless or not.

Solving the entire problem is more complex than more housing supply, that doesn't mean that more housing supply isn't an important part of the solution.