I think "linked" is probably the right term. It's certainly a spectrum of people with issues (substance abuse, mental health, opportunity, bad luck).
A drop in housing prices doesn't immediately fix any of those things, but it unlocks some options. Looking at Zillow, rent of a 1 bedroom unit is around $2000/mo (put another way, that's 100% of the income of a person working at minimum wage), that's just an impossible situation.
If housing prices come down, rents come down, the most functional 1/3 of the homeless population gets off the street, resources can be applied to the more difficult cases, etc.