Yeah that can't be right... The problem with these discussions I think is there's a very big difference between the technical definition of homeless, and the one people use colloquially.

It's the most visible minority of homeless people that tend to be the entrenched ones people think of when they think of homelessness, and those people essentially have nothing in common with the other "homeless" people other than having no permanent home. It makes the discussion harder as people are using the same word but talking about different things.