I actually think we spook them more bumping them than we do shooting at them...
I did miss one, and he took off running... But many times, I have shot a bird in a pair or group, and the other birds do not even seem to mind the gun shot...
When I have taken a guest, I always tell them, if they kill a bird in a pair or group, do not move until I shoot as well.
Now, the cursing that generally follows a missed shot might hurt ya'.