It is in my capacity as a recent PI that I join the discussion. A point of confusion for me over the past few years has been the meaning of the word leadership.
Leadership often seems to mean a teacher who provides inservice for other teachers.
In projects in which I have been involved, I have found few teachers who are interested in or prepared to provide inservice workshops, but many who become leaders in the broad sense. When I ask participating teachers what they have done as leaders, I get little response. These teachers did not think of these kinds of activities as leadership. When I hear colleagues talking about the professional development of teachers, I often hear them emphasize teacher empowerment when discussing leadership projects. In my experience with teachers, I am concerned that we are overselling and misrepresenting what we, as teacher educators, can do to empower them.