You can manage a crew without leading it. Hand out assignments, track progress, fix what falls behind, and the work moves. Management is real, and it is necessary. But it is not the same thing as leadership, and confusing the two is one of the most common mistakes I see.
Management is about tasks. Leadership is about people. A manager makes sure the schedule is met. A leader makes sure the people meeting that schedule know why it matters, feel respected while they do it, and trust that they will be backed up when something goes wrong. The first keeps a job running. The second is what makes people give you their best instead of just their minimum.
The shift usually starts with listening. The people doing the work often see problems long before they reach a report. When they believe you actually want to hear it, you get the information early, while it is still cheap to fix. When they believe you do not, you find out late, on the worst possible day.
Titles do not make this happen. Habits do. Show up, be consistent, own your mistakes in front of the team, and give credit in public. People follow that long before they follow a job description.