Keep in mind that RFC is a chain, so the experience you will get at DTD is the same experience that you will get at your "local" RFC (which is a good thing if you know your kids alreadly love the menu and are normally horrifically picky eaters).
I've only had breakfast once at Storyteller's (I ordered off the menu), and the food was delicious. It still is my second-favorite meal that I've had at DL.
My favorite is the meal I had 7 years ago at Ralph Brennan's Jazz Kitchen. The atmosphere was great, the food was great, and the jazz band was great. I had been to New Orleans 2 3/4 years prior to eating at Ralph's and it really reminded me of the restaurants that I ate at while I was there (minus the Hard Rock Cafe). Plus, they flambéed the bananas foster tableside (nothing quite like seeing flames shoot up a foot or so into the air to complete the meal).