Untrue, if you're thinking about recently gentrified areas like Bayview/Hunter's Point in SF or East Palo Alto in the peninsula.
According to the internets, the walk score and bike score for my house is really high but most of the restaurants and grocery stores around don't have a lot of variety or organic products. If we didn't already have a good cooking culture and procurement habits, I might be tempted to use Blue Apron or a similar service.