i've stayed at sports and movies and they seemed pretty much the same to me. the only difference is the theming.
i didn't have the problem james mentioned with the transportation. in fact, the buses seemed less crowded when i stayed at movies. and i stayed at movies in peak season, while my stay at sports was in off-peak season.
if you have kids, one advantage sports has is that it's closer to the nearby mcdonald's. but mcdonald's fries are available in all the major parks and you can get a lousy hamburger anywhere in the world.
pick your favorite theme and go with it.