Yeah, that's what happens when a "target" moves after a villager has initiated an action. These little people are so single-minded that they don't realize that their patient has moved on to other things. You'll see the same thing when a villager dies and several peeps go to collect the remains. The first one there gets the corpse, and the others stoop down, realize the corpse has moved on, and decide to do something else. There are, of course, other examples.
