The higher up you go the more important it becomes to make an impact to teams outside the purview of your boss. So I'm not really sure this holds.
in this context 'your boss' is usually a level or two above your direct manager on org chart
Take it as the most senior person you can get regular face time with, this also needs to be gamed.
I thought it went without saying… That's how you get promoted over your boss and become his boss.