We understand the importance of having proper representation. This is true in the realm of law, and the same is true in standing before God.
We do not want to stand before Him alone. We need proper representation, and that representative is Jesus.
Leaders are also representatives. Followers need those they can turn to who will help, guide, protect, advocate, and provide representation.
Representing others indicates an activity designed for someone else, literally a wider group of others. The application to leadership is rather fitting.
Modeling the characteristics found in Christ is a great starting point for fulfilling the need in our own leadership.