There's another position that's similar but less gross, which is to have some humility about what you think is important vs. what work your manager/manager's manager think is important. Try to work on what they think is important not (just) because of a cynical desire to game the system and get ahead, but because they have probably more experience and (often a lot more) context than you do.
Of course, this only works if you have managers you feel like you can trust and respect in the first place.