Actually one of the things this points out is Obama’s lack of self-absorption. If this happened to Bush, he’d make a comment about himself. He always saw things as they related to him.
But Obama’s comment was a wry self-aware comment about how his staffers were going to react.
Obama and Kennedy are/were the two wittiest presidents we’ve ever had. Maybe Lincoln, but since we didn’t have 24/7 back then, hard to tell.