Wrong.
It comes up constantly through "Fate is the Hunter" as being illogical. At the end of it when he flew with a co-pilot who was far more experienced than he was but was only in that seat because his airline had gone bust, Gann decided it was time to get out of the industry. (For those of us who enjoy reading, that was a good move.)
Where did you get the idea that Gann was Number One at AA?