There are a few differences, but the big one is you have caused the problem. It's game management.I really don't see how or why we should stop play for a dropped ball if the only reason for it is because the players expect it.
I get this frequently when defenders stop, expecting an offside. No Sir, it's not offside. As @socal lurker said, a loud shout of no and manage the game from there.
Similar with injuries, if I think a player needs help ('serious' is my discretion) is stop play. Otherwise if 'players' want the game stop they always have a choice of kicking the ball out.
Obviously the best approach is not to get hit by the ball in the first place, but it happens to us all occasionally !