Interestingly, I was reading an article about this years ago, that sought to understand this phenomena. Their test case was culling buffalo, but it was the same question: "Why do some drop straight away, and why do some run, even after having their heart destroyed by a bullet?"
So, when they culled buffalo, they perform necropsies on all the carcasses in a hope to find out. What they found was that when a buffalo dropped straight to the ground from a heart shot, there was severe destruction of the arterial valves in the carotids that fed blood to the brain, as well a damage to the brain itself. And in those that ran, there was less, and in some cases none, damage to these arterial valves.
The overall theory was that it had to do with the bullet striking as the heart happened to be compressed, while the arterial valves were open, or beginning to close as the heart relaxed. With the valves open (allowing blood to pump down the artery), or just beginning to open, they suspected that a hydrostatic shock wave traveled up arterial pathway and directly into the brain. Causing severe hemorrhaging of the brain and destruction of the main arterial pathways. But, if the heart was already relaxed, and the arterial valves were closed, this inhibited the shock wave travelling up into the brain, which then allowed the buffalo to bolt until the brain eventually ran out of oxygen.
At any rate, I thought it was an interesting experiment/theory, that made sense when you think about it.
MPMI