The other notion is that of a lifestyle-choice, treating the homeless as if they are their own indigenous demographic, choosing to live a life outside the western method, and harmed only by western cultures insistence that everyone needs to fall in line. This argument usually skips over the dependence on western societies for basic needs, and whether anyone should get to just "opt out" of society in general, while still benefitting from societal supports.
Both are true to a limited extent, but absolutely false if used as a broad defence of the homeless, or the basis of policy.
There has to be a link between the autonomy a person is allowed, and the responsibility they bear for wielding that autonomy - this applies everywhere else too, from trust within communities, to authority within institutions.
The homeless are often treated differently, but sometimes they are treated more leniently the the norm as well. If they where treated the same as everyone else, they'd still find it difficult to get a job, or loan; but they'd also end up in jail a lot more too.
I don't know what "the hivemind" says, but being homeless is, indeed, "just luck"; in particular, misfortune- the kind that can befall anyone. If I understand correctly, in the US for instance, having a serious accident or falling seriously ill can lead to bankruptcy and homelessness, through no obvious fault of one's own (except perhaps people should not partake into dangerous activities like sports for recreation).
I've only been technically homeless and only slept on the street once in my entire life, but I have some time volunteering, talking and interacting with them, and in my personal experience, overwhelming majority of them are not just normal people who felt on hard times. I'm completely sure that if they took rational decisions and controlled their impulses, majority of them would not be where they are.
However, and this is a very important point: division between mental illness and bad decisions is very murky, so I'm not making any moral judgements here. But if a person suffers from a mental illness which leads him to make irrational decision, it is a tragedy, and this person is not at fault, but society doesn't become responsible for this awful situation either. It is moral and commendable to help these people — that's why I do it, for example. But there's a pretty huge gap between doing something out of kindness and having an obligation to.
This may be a reaction to the opposite viewpoint that was popular in the old, WASP US, but I do think that it's been taken a bit too far now. If you think that "we treat homeless people like crap", ask yourself: would you wanted your own success or failure to be wholly attributed to circumstances out of your control? Would it feel good to be so stripped of agency?
For me personally, to respect a person also means to treat him more like a responsible adult and less than a mindless child.