Well, which park are you planning to visit that morning?
It is cool to walk into AK when it's virtually empty. TH has some different selections, but it also has the favorites (scrambled eggs, potatoes, bacon, sausage, mickey waffles, fruit, pastries, etc.) It's nice to walk over to the safari afterwards for a short or no wait. Characters are Daisy, Mickey, and Goofy.
It's even cooler to walk down an empty Main Street. CP would be my choice because I love the food they offer. The puffy french toast rocks. CP has the Pooh characters.
Both are good. CP is better in my opinion.