Yeah, hunting golf carts is frowned on hereabouts as well, but there seems to be a bounty on bikes - at least you'd think so, given the numbers who try to kill the "vermin" with their cars.
I have heard of people using e-bikes to hunt turkeys and stuff. Makes sense to me. Make sure your stuff is weatherproof and no wires will get snagged by brush.
I think bikes used for game hunting is an awesome idea.