Putting the organization ahead of individuals isn't what's happening. The individuals ARE the organization.
So if you put yourself ahead of the organization, you're putting everyone else behind you, including your boss. This is a challenge for millennials especially, who are used to always being put first, and having their emotions managed.
A good manager doesn't put themselves before their boss or anyone else. How often do you hear of programmers who enter management to hardly touch code again? A good manager puts the organization first, both above and below their pay grade.
But their performance also depends on the people they manage. If a worker is incompetent, they have every right to be hard on those mistakes. And the worker is fully responsible for setting things right. Work is not homework that gets handed back to you after its graded. It's something needed by someone else that needs it for something important. And nothing is redundant in a tightly run business.
When I think of Melissa Mayers, I think of bullets. Despite whether anyone agrees with "her" moves (which were clearly backed by her counsel), she was doing everything she could to increase market share and rebuild a failing business. She took on all the risk, and becomes target practice for those who despise her failures. When was the last time you were bashed on HN? And she does this so that everyone at Yahoo has a job. She is fighting for YOU.
Regardless of my word choice, to borrow your words, the CEO is a ridiculously inflated position.