That is definitely the case in my community. We are not a big city, and we have essentially zero visible homelessness. But the stats for my kids' elementary school says we actually have a fair number of homeless kids. Turns out that's because they are living somewhere that does not qualify as their own home. They still have a place to eat & sleep.
It sounds like the reason here is that unlike your home staying somewhere else has a pretty high chance of not being permanent. It's probably a good idea to not state "we have zero homelessness" and a month later people run around "How can there be all these people on the streets?! You said we have no homelessness!"
