Why do some fellowships require "leadership experience"? The fellowship I'm about to apply requires me to express my past leadership experience in the personal statement. Why? I understand that leadership is a soft skill that everyone should have, but this is academia, not business. People in this environment put cooperating before leading. Of course, even in business, there is no group that work like in military, the person in low level still can suggest idea and change the leader/manager's mind. The role of the leader is inspire and amalgamate separate people to one united unit. But in academia, everyone should inspire themselves, and the science itself are the glue to attach people together, right? So why don't these fellowships require me to show my past cooperation, rather than leadership?
Precisely because we cooperate a lot, we need good leadership. A good leader is someone who can bring the best of everyone in the group. For example, encouraging everyone to voice their ideas, assessing which ones have actual value, but without making the group pursue all the wild geese. A good leader should also be able to recognise the strong points in the members of the team and assign tasks accordingly.

I accept that everyone here should be motivated, but it is important for the group to keep it up. No matter how eager I am, if my professor were to start giving me contradictory orders, unreasonable workloads, or dismissing my ideas without explaining why, I can tell you, I would not remain that motivated after four years. After all, I can be motivated to work "in the grand scheme of sciency things", but not necessarily in the particular group I am in.