This. Living in a city with this problem, I struggle to imagine a significant causal relationship between housing prices and homelessness. The people I see in tents are not priced out. Magically roll rents back 20 years and they would still be largely unaffordable to this crowd.
Magically roll back the clock 20 years along with the rent prices, and I suspect a lot of the people that became homeless in the past 20 years would've never become homeless in the first place.