Eh, the "hey, that's my schtick!" thing feels like jealousy, and jealousy seems like it would be beneath them. However, people getting along is boring. I imagine them having some sort of friendly (but not<em>so</em>friendly, given their duties) rivalry going on. After all, if there's one thing a true gentleman cannot resist it is a chance to improve oneself, and what better challenge is there than an equally capable gentleman?