Very rarely does a war kd lose to a growth kd, mostly cause the growth kd in 100% out of the crown race and no longer gives a toss, whereas war kd has 4-5 WW's by that point and all the honour associated with it. Not like one needs to give excuses as to why an inactive growth kd loses a war, but still they are there.
Saying growth kds are helpless in pump mode is a bit farfetched.