That's funny, I thought Zarqawi was being given 'medical' treatment in Baghdad pre-invasion. Does he count as being part of Al Qaeda? One would think so, particularly since this article shows that he put their shingle out in front of his Fallujah headquarters.
He was a terrorist that only recently joined his cause to al-Qaeda's. Al-Qaeda actually is just a collection of local terrorists that decide to fight for the same reasons.
PS: The sign was inside a room - like seen in the videos - not outside - the poster in his eagerness got it wrong.