I would be interested in seeing your stats. I worked while homeless. I did freelance writing and, later, resume writing. I have known homeless individuals with regular jobs.
I don't know what the statistics are. But I would be very interested in seeing stats on how many/what percent of homeless have some kind of earned income, if you know of any reliable data on the topic.
(Edit: Or maybe clarify your intent. I had earned income, though no job. We could quibble at length about what constitutes earned income. For example, does recycling for money constitute earned income?)
Thanks.