I have known three homeless people very well. One was an addict whose hard-won recovery lapsed when they lost their housing. Another had been convicted of a non-violent offense. One was just a very unlucky guy.
None were violent.
The most destructive addict have ever known was a professionally employed homeowner & taxpayer.
The most violent person I've ever known was a highly respected figure in their pacifist religious community.
People are complex.