Non-pointers point. Some pointer don't.
Non-retreivers retrieve. Some retreivers don't.
Non-herding dogs herd. Some herders don't.
Most dogs play-fight. "Fighting dogs" have to be trained to fight to kill.
Breeding is clearly a fantastic determinant of physical characteristics which pair well with the desired behaviour, and does contribute a little bit towards behavioural instinct, but (as per the *peer-reviewed long term study* in question) isn't on its own a good predictor of behaviour.
The ~.001%, by the way, is termed idiopathic aggression (sometimes called cocker rage, but again is NOT actually well-correlated with cocker spaniels). Idiopathic means of unknown cause.