>>1822570First lets be frank here: In a walkable city you will have several options within a mile, and in the most walkable cities your nearest dining options are on your block or sometimes even within your building. Only in the most disadvantaged urban areas will you struggle to find food options within close proxmity, and often times I would not call those situations 'dense'.
Second, look at my picture. Which one do you think incentivizes people to walk more? The one where they have to cross massive parking lots and six lane roads with poor pedestrian infrastructure, or the one where there are three dozen options right on one street, with wide sidewalks and regularly timed crosswalks.
When we are talking about access to ammenities other than the great outdoors or land intensive uses, cities will invariably provide a better experience.