A main quote from that link is "a small percentage of American consumers are limited in their ability to access" healthier food, seemingly mostly tied to lack of transportation to otherwise close-by stores in densely populated areas. I would posit that's a much smaller percentage than those eating unhealthily in low/poverty income situations.
Your post here coincides with mine. Somebody running between jobs does have means of transportation, but is in a highly stressed life situation. The main problem is not one of literal access to healthy food, yet that is always the first supposition made. Healthy food is cheap, and it is not far away. The problems are beyond that.