I don't like equal playing fields even in war.
How far back do you want to go in the banning of hunting equipment? Bows and arrows? Thrown spears? A stone hand-axe? A thrown rock?
So, remember, when you next go out to the wilds to kill an animal to make your clothes, to fill your belly, to get the materials that you need to survive ... you are allowed to use only your hands to make the kill.
Hunting animals is hardly comparable to a war.