I'm with you on the first two paragraphs. I lost the plot in the third paragraph. What is the benefit to these homeless activists in perpetuating homelessness?
The "visible homeless" generate attention and motivation to address homelessness. The "invisible homeless" are, well, invisible and so it's hard to motivate people to give money/time/votes to addressing their problems. The "visible homeless" are a bit of a nuisance so there's a vested interest in addressing homelessness if you think doing so will stop that kind of thing.