Not really, the term "Major" doesn't say passenger does it? Perhaps there should be a heading "Passenger" but until there is a "Mega Major" we'll have to hang here too. Largest wide body fleet in the world and takes in a billion every two weeks should count for something. This thread is bickering over the what company makes.... who cares?
I just think it's silly for guys to fight over what airline makes what. Doesn't really matter to the line guys. If you have a job be happy and enjoy it. If you don't good luck!