This is just as disingenuous as the parent and isn't even close to representing the most common situation. The majority of people don't live next to a market that has proper fresh produce, but demand drives supply and there's a reason they don't.
Most upper and middle class families have largely abandoned the concept of fresh produce. When the poor become not so poor, they follow the same pattern. Not because they don't have a choice, but because they choose to.
My parents live a very affluent area. Whole Foods, Trader Joes, Pathmark (large local grocer), Mitsuwa (large Japanese market). Four choices within 1 square mile. All walkable. Not a single one of them has any significant fresh food selection. Not one. Oh, they have a ton of prepared food that you can buy by the pound, but not a whole lot if you want to make it yourself.
I live in a less affluent area (putting it mildly) and there is a farmer's market 5 minutes walking distance from my house that has only fresh produce, absolutely no prepared food. It has more fresh produce than all the the other 4 combined. Why? Because the people who live here can't afford prepared food. It's that simple. They would, if they could.