Like my thread "Grabbing Java on the Road", or even "Grab-N-Go Breakfast" most have a different opinion on coffee and of coffee shop food. It's really a personal taste.
When I lived in the Northeast, I really did not drink coffee, so I never went to DD. Now that I do drink coffee, I happen to like their coffee, and when I am in range of a DD while traveling, I will stop, grab a coffee and have done their flatbread Turkey for Bfast. Maybe not the healthiest Bfast, but better than nothing in a pinch.
I'd never do Chicken and Biscuit - regardless of where it came from. I just don't eat like that. Mostly try to eat lean and healthy. Mostly.
But I'd not classify DD as feted. Many of the shops are super clean, have healthy alternatives, and comfortable sitting areas with LCD television and free WiFi. They are trying to be on par with Starbucks.