Yes, when necessary.
The offering of "why should I work? You know, I've got a few bucks, I've got my room paid for" promotes the tired
myth about welfare recipients preferring not to work or
spending comfortably (or even luxuriously) on the state's dime. I urge you to read those two links.
Also, no, I don't agree that that's a true statement, demonstrably speaking. In the Western world, higher entitlements actually correlate
positively with worker participation. So, contrary to whatever one might suppose as common knowledge, people don't generally prefer welfare over employment and dependence is a complete and utter myth.
Persons of the LGBTQ community are disproportionately represented in the homeless population. This can be attributed to a number of things. I would more closely associate it with the harshness of gender role confusion than any sort of active or purposeful oppression by society. More plainly put, it's harder to be successful when you can't conform yourself to the standards of society.
But, on this topic, I would feel like I was misleading you if I didn't mention that the most overrepresented group in the homeless population by a
wide margin, regardless of sexual orientation, are males. They're more likely to be black and they're more likely to be LGBTQ, but overall the biggest indicator is being a man.