Cats have staff. Cats are arrogant, aloof, and shamelessly and transparently manipulative. They are also agile, nimble and sleek. So of course you want cats in your backfield, on both sides of the ball. I'm on him like milk on whiskers.
Dogs are loyal and steadfast and uncommonly patient and quite willing to be used.
So of course right away you think, the line. We shall stunt and loop and slobber and generally conduct ourselves as pit bulls. Dogs would sacrifice themselves. Cats would sacrifice you. Dogs will faithfully follow each and every play as you have diagrammed it, and comment admiringly on the inventive brilliance of your game plan.