I don't know about a video, but there are several similar instances in the show. He's always telling them that he won't fall for it again, but he always does. :P My theory is that he doesn't *really* mind. He hates flying, but he also knows that it's the only way to get to many of the jobs they take.
This "I won't fly" gimmick was stupid. It made BA looks weak and like a liability to the team. Many missions were made much harder because of BA being a high-maintenance coward.