The point isn't that they are from two different categories. The point is taht both of them are iOS apps! So the case exists.
As for Apple Computer and Apple Corps, obviously Apple never tried to be a Record label company. But when it started moving its operations into the music industry (i imagine that was the itunes time?) it got attacked by Apple corps. Before that it was peaceful co-existence. After that, it was Apple computer paying Apple Corps to keep its mouth shut and not bitch about it