When you refer to "action", what exactly are you saying? The reason I'm asking that is that jig heads, unto themselves, have very little action per say. The vertically flat aspirin types probably fall faster than say a ball head would. And the horizontally flat heads would tend to wobble more on the fall. I find it difficult to believe that the bullet style lends much of a different action when compared to the more common ball head. As far as retrieve goes, I don't see a big difference in what each type lends to the action of the bait. The action usually comes from the body type you put on it.
Been using the ball head jigs for many decades with fine success. Not sure a change in the jig head itself would affect those results. But I could be wrong. Let's see what the consensus says here!