I agree with you. I don’t know who Kimmel is, but if you watch the whole video, he overall praises Obama and he gets to “high five” him.
Jimmy Carter was the last Dem president to expose himself to an impartial media; BJ Clinton knew better than to risk having a reporter ask him direct, public questions about his exploits, and Obama is doing the same.
The guy who threw his shoe at Bush could have just as easily asked Clinton some embarassing questions point-blank, so they orchestrated every appearance (mostly successfully - IIRC one guy got through and handed him a human fetus in a container).