I'm using it to mean someone who doesn't have a place to live. Like say someone who just sold their house and didn't go and use that money to buy a different house. Yes, that's very different than the person asking for change on the street corner, but I thought it was pretty clear from context which I'd be.
Many people rent without ever owning a house, we don't call them "homeless" normally. Even if you owned a house they still allow you to rent. You can even rent while owning a house or several.