Actually when shooting North or South the target is moving East. The target is always moving towards the East. You should say that when shooting North the target is moving to your right. And when shooting South the target is is moving to your left.
Now when shooting NW, NE, SW or SE, I don’t know....
Never mind...
You’re moving to the east, as well, so the target to the north is moving less than you are. However, my experience is with Coriolis acceleration, not shooting, so I’ll defer to shooting experts on targets.