If that happens then you aren't training enough on your primary weapon, can't rememeber the last time I saw someone short stroke a 870 that had even a basic knowledge of their weapon, maybe we just hang out and train with different skill sets.
With skeet, people think there is no time to pump to get the second shot in pairs. In reality, there is plenty of time. If you pick off the bird thrown away from you first, the speed of the 2nd bird coming towards you has slowed down enough and is very close to you. Easy target. True there maybe more gun movement, but it's funner that way.