Check out the cup below, it has Disney symbolism on it for sure, but also a nice little silhouette of a Coke bottle. Obviously, there was a conscious decision made somewhere to more prominently feature the Coke brand. (I doubt the company did it out of some love for Coke . . . )
While I love the old cups . . . does Disney really want to be associated primarily with high-fructose beverages which are being blamed for childhood obesity and diabetes? Seriously, from a nutritional standpoint Disney gets away with a lot, they don't publish how much trans fat/carbs/cholesterol goes into their food.
The mayor of New York wanted to make large cups like the big one below illegal . . .