Didn't say "no income". A couple spending a year living in a $200K motorhome at a campground near a beach in Florida doesn't need much income to be very comfortable (appeals to me). They use just enough interest from their investments to get by, plowing the rest back into their pre-tax investments.
Also didn't say there were a lot of them. Problem is, between them and others operating off capital (little/no income), under the table (little official income), criminals (really unofficial income), and those leeching off the system (playing games with what's income), plus those at the upper end of the "poverty" scale (way better off than half the world), it's kinda hard to see who really is hardcore genuine "poor".
Point is: if you want to help the poor (and yes, there are real genuine painfully tragic poor), simple income is a lousy measure thereof.