I attribute it to, on the reporter's part, two parts laziness to one part subconscious racism.
Of course this has never been true, and part of the point of the article was that it's even less true today. Perception is very important in how people view these issues. When people see someone they can relate to, someone that looks like them, or their sibling, parent, next door neighbor, etc., it becomes a lot harder to sit in judgment and be morally dismissive of their circumstances.
I've lived in various parts of middle America, Tennessee, South Dakota, Montana, and many of these people feel these programs should be abolished exactly because of this misperception. Of course when you point out that their grandma, or auntie or cousin is on Medicare, food stamps, etc., their immediate response is - "Well I'm a hard working, Christian American, I deserve these things. It's those OTHER people who are the problem."
I suspect that the reporter's channeling the media environment as "what most people believe", which would make the subjects' whiteness somewhat novel.