Strange isn't really an Avengers team player anyway. In the comics, the main period where he was a member of the team was only that way because he had lost the cloak and Eye of Agamotto, and had his powers greatly reduced.
Usually, a major part of the problem is that he's much too powerful to actually work as a member of the team. And before someone says "Hulk and Thor and Captain Marvel are powerful too", they're powerful in different ways than Strange. They're physical brutes and can be easily thwarted/challenged by either giving them a tougher opponent or a problem they can't punch their way out of. Strange is different. He's powerful in a way that means he should logically be able to solve most conflicts the heroes face in about 10 seconds. Over at DC, Zatanna from the Justice League has the same basic problem.