There are different kinds of team leaders. My kids having different personalities are/were different types. My daughter (softball) was a vocal this is how we do it, this isn't how we do it vocal leader who was never afraid to get in a teammates face. In a tournament we were getting homered by the umpires. The opposing team's infielders were obstructing our base runners. My daughter decided to end the problem. She didn't run around the fielder. She ran through her and planted her face in the dirt. Problem over.
My son is the quiet, lead by example type. He's the type coaches tell other players to watch how he carries himself and how hard he works. If my son comes off the field saying, "let's get some runs" that's an outburst for him. I tried to convince my son he needed to be more of the rah rah type in high school. He said it's just not him. As long as what a leader does points the team/teammates in the right direction it's the right thing to do.