Why is it such a simple dichotomy? Most people have to make large efforts to maintain a legal shelter and it's as easy as a medical emergency to slip from the tenuous position of not being homeless.
Are you saying the person with the medical emergency who becomes homeless was always homeless? Otherwise perhaps I didn’t understand your reply.
Regardless you’re right it’s not a simple dichotomy. Similar to how if you’re living in a new Airstream, chances are you aren’t the same sort of homeless as someone in a runned down camper with little cash flow or savings.