To use a completely out of context, one time photo of a doctor's watch and make an assumption is poor critical thinking.
To follow it unprovoked, with your own "reference" as to why your opinion needed to be heard; is just irresponsible.
It's bad advice, and the fact that you feel the need to state your credibility identifies your insecurities. Sarcasm or not, some people may listen to your advice. Things do not happen in a vacuum.
Maybe, he's not a bad doctor.. and after years of mastering his craft and learning to maximize every step of his process for efficiency, he realized hes able to correctly read his own watch while checking someone else's pulse when he wears it like that?
Or maybe he was in a hurry.