Consider the sentence: “The gunner managed to shoot up the plane, and this led to it being shot down.”
The issue: Shoot up to shoot down? It is not even that the gunner shot up; he might have been in another plane and shot down to shoot up the first plane.
English verb-preposition combinations can be downright weird. There are other cases. Do you log on or log in to a computer system? And when you are done, do you log off or log out?