There are a lot of other considerations to be made when shooting from a gyroplane. I would go so far as to say that if you are in a single seat gyro and you are the pilot, hitting a moving animal would be so miraculous as to rank up there with Billy Dixons shot at Adobe Wells (look it up), Dave and I tried some paint ball guns once. We gave up.
Now being a passenger and shooting,, very do able, BUT not for people to just get hired and go. You have to have your shooting angle sticks attached so the muzzle doesn't shoot off important bits, you need a shell catcher if using anything other then revolvers or single shots.
You need to consider the heat of the barrel and gun, it one thing from a Huey or R44, but something like an MTO? your shooting a suppressed AR, you dump 2 mags on a herd, the can is glowing cherry red....now you just gotta hold it out in the air stream till you can touch it....or you will melt your aircraft....How will you safely clear jams, what about a double feed? Will you be able to clear it without pointing the muzzle at the rotors?
don't forget ammo and guns are heavy when planning your flight.
I dunno, probably not the best platform for shooting hogs, may be best to leave it to the Chinese for a war weapon