A dog that chases multiple game doesn't make it chase stock.. All my running dogs catch foxes, cats, hares, rabbits two of them also catch pigs and one of those two gets me ducks and finds quail and don't chase roos either.. None of them chase stock.. The problem though is you can't be sure of what they are hunting as I don't target the one species.. They will catch a fox in a chest plate if I'm hunting pigs and one gets up.. haha..