I value pitching in very highly but for the most prestigious jobs, I don’t see that it is about pitching in at all. It is about “will you be good at the job”?
And sometimes that is based just on someone’s perception of your skill level , leadership skills, or some other not so defined factor. For that book anyway, it wasn’t so much about getting a good performance review but how to get to top positions. There are administrative assistants who are GREAT at pitching in and being helpful. But it they aren’t perceived as having the right qualities (leadership, etc.) They are not going to get key promotions to truly move ahead.