I think hunting can take you a long way in a fight. Lots of reasons, but I will start with:
It teaches you when to shoot, and often when not to shoot. It is a skill that is learned from the many trophies you have taken. The hunter is shooting an unpredictable three dimensional target, and it is much different than any inanimate object. It is the first shot that matters, no warm up shots, and the hunter will be measured on so many levels. The stakes are higher (pun intended), you learn to control your body.
Your game is moving between trees, you pick your spot, but the ground slope is different, he is much lower than expected your aim is too high, you hold your fire, you find the next opening, but he has changed the pace...this distracts your rhythm, but you have learned to expect this. You fight tunnel vision, because lots of things can still go wrong. You gotta be safe, effficient, and of course you will be still looking for that better target. By this time, your position is akward, but you are still tracking the target, you wish you had time to reposition your body. You know this opportunity is a about to pass forever, you have a split second to make the shot. Time and space. A mental “all go”.
It was at that moment, a million decisions points were complete. The fundamentals of shooting took over, only a millisecond of complete focus on the target. The experienced hunter has prepared and killed enough to know he made the right decision. He has aimed through the target, through the vitals, the angle was right. He had evaluated the clear shot, he knows an unseen branch can deflect a bullet from its pass through. Too late for a do over. Your weapon worked correctly because you knew it would, no alibi. You are responsible for your actions. Was it well placed? You are lucky to see the hit and he reacted like it was good, but you have the experience to know that in the matters of bullets mixed with flesh and bone - you never really know for sure. You have already reloaded, that was second nature, you know a second shot is unlikely, but you are ready. You evaluate, you are ready to make another quick decision.
Hunting is nothing like shooting at paper, a moving action shooting array / or those steel reactive targets, the angles have to be right. The wound channel matters.
You learn from every kill. Each time is different. Each time has valuable lessons. I believe that an experienced hunter, with good marksmanship skills, is much more likely to make a kill shot than even the best distinguished marksman with no experience of taking life.
I will go on to tell you, that the more game you take the better your chances are to kill. The percentages go up with experience.