So you're saying that a high minimum wage prevents homeless people from getting jobs? That opinion seems overly simplistic -- I'm inclined to believe homelessness isn't a result of the lack of opportunity.
No job ---> no self-reliance.
Homelessness is only a short leap from that point.
Simple does not imply over simplification.
Also you leave out mental illness and addiction which are impossible-to-ignore factors when comparing homelessness to impoverishment.