If that's the case, then "energy dump" is still a non-wounding factor. Where does everyone think that the energy that is used to deform the bullet is coming from? From the bullet.
Jason. The bullet at rest has zero energy unless you want to measure the distance from the ground it is and measure the potential energy of said bullet. In the context we are talking about, killing a 4 legged critter, it takes velocity and the mass as you said to give it momentum. It also takes the correct bullet to transfer enough energy to do enough tissue damage to cause mortal harm. What is this momentum measured as? FOOT POUNDS OF FRIKIN ENERGY! The bullet is transferring the energy to the animal as it passes through, expands, creates a larger wound channel etc. Tissue damage is the result. If you had FMJ, then there would be less damage with same velocity etc because it doesn't do what? Expand. What causes the expansion? The the bullet coming into contact with the animal. But what if you threw the bullet at the animal instead of shot it? No damage. Why? It didn't have enough momentum which in this case we are equating to energy. Kinetic? OK, calculate it. Regardless, it takes that energy to push the bullet into the animal, cause the bullet to expand, and do some damage. In the process, the animal is absorbing the impact, the energy the bullet is losing due to friction with the animal.
I'm sorry, I'm not saying this to be rude, but I think we are thinking on different wavelengths. If you want to believe that bullet hits animal, animal is hurt from big hole in animal, animal dies. OK, go ahead. This really is the simplistic result and is a lot easier to explain. Blood loss, tissue damage, interrupting the electrochemical signals from the brain, shredding the heart, lungs, fine. That is the result.
But what caused the result. That's the kind of physics related issue I was addressing since there are a lot of wives tales on the topic. I've given you reasonable explanations and arguments from an engineering perspective. If you don't believe them, fine. We can agree to disagree.
My brain hurts... My professors biggest feedback was I liked to get into the weeds. Maybe its time to go climb a treestand!