I didn't know you couldn't hunt with FMJ. ... Surely the why must be written down somewhere.
The why is, essentially, because hunting (in the US) is a sport. It is a game, with licenses and rules set by the states. The state decides, where, when, and with what you may hunt game animals. And you get to pay for the
privilege. The equipment you may use is restricted by the hunting regulations. Caliber, ammo(bullet) type. Number of rounds in the gun, even type of gun, in some places is determined
not by what will work, or what can work, but by what the state feels is in the best interests of the sport, game management, and the public.
Lets clear up a couple of things about FMJ ammo. The military does not use FMJ ammo because it is the best thing for the job (it's not). The military uses FMJ ammo because governments have decreed that they shall.
FMJ works well enough for the military to get the job done. And remember that the "job" is not killing or stopping an attacker, like it is for you and I in a defensive situation. The job is completing the mission, what ever that happens to be. Killing enemy troops is one way to do this, but not the only way.
The Hague conventions were an attempt to limit the "horrors" of war. They come from an earlier time, and mindset, one that in some ways was still carrying some of the ideals, if not the trappings, of chivalry in combat.
FMJ ammo was considered more "humane", because, while it does kill, it is the least likely to seriously wound. It seems the underlying idea was that while it was ok for soldiers to shoot and kill each other in war, it was bad form to use ammo that would produce "horrible" crippling, permanent wounds. How they reconciled this with allowing bombs, artillery, and even poison gas is beyond me.
Kill an enemy soldier, he is out of the game. Shoot one, and he is also out of the game, at least until he recovers, if he does. Restricting ammo to FMJ gives those shot (and not killed or crippled outright) the best chance of eventual recovery. And, after all, wars do not last forever....remember that these rules were made by men who believed in the concept of "civilized" war.
While not an official signatory to the Hague (or the Geneva) conventions, the US has long had an official policy of abiding by their rules, when fighting signatory nations. And, generally, keeping to those rules when fighting anyone else.
So, the military is forced to use FMJ, because governments decree it, not because it is the best ammo possible. The side benefits of this are, #1)it is the cheapest ammo, and #2) after the general introduction of automatic and semi automatic firearms, it was learned that FMJ ammo feeds the best (most reliably) in these mechanisms. In short, the military uses FMJ because they don't have a choice, and not because FMJ is the optimal choice.
You and I, do have a choice.