This comment seems a reply to the headline more than to the article. And given that headlines are almost never chosen by the authors of articles, it may be wort

This comment seems a reply to the headline more than to the article. And given that headlines are almost never chosen by the authors of articles, it may be worth coming up with an alternative headline to the article. As I read it, the article is the author mentioning that as a student he had a poor idea of what professional mathematicians did, that he received a lot of encouragement from his athletic coaches but not math teachers, and finally wishing that as a kid he knew what excitement was possible from mathematics. So if I were picking a title for the article I might choose “I wish math students got the kind of motivation [from their teachers] that athletic students get [from their coaches]”. (This is wordy and poor as a headline of course, but it's probably a better reflection of the article.) How much of the differences you mention affect these points, do you think? That might be more illuminating.