Carbs for instant energy... the small amount they are able to readily process... would surely be used up way before the point they were able to compete, assuming you leave at lest an hour after feeding before competing?
proteins and fats are the optimal energy source for cats and dogs, they are converted into carbs within the body and those are stored as glycogen within the muscles... that is what provides the instant energy needed for sproting activity, not the carbs being digested.
Yes Eden has carbs, a small amount is needed as a binder to make a kibble, without it everything falls apart, ot has about 13% in total, which is about the same amount that would be in the diet of a wolf that eats a few berries, fruits and veggies
There are 2 chicken free varieties of Eden, specifically because about 1-2% of dogs are chicken intolerant and a few have issues with fish so one flavour has no fish or chicken