I believe there is a difference between managers and leaders. “Manager” is a defined role that exists within an organization which serves a specific function. They organize, strive to achieve organizationally-set goals, and make plans and rules for employees to operate in.
Managers encourage day-to-day operations to occur as smoothly as possible by mitigating risk, providing structure, and rules.
“Leader” is any individual within any level of an organization who exhibits specific traits and skills that has an overall positive effect on the team and culture of their environment.
The two are not mutually exclusive, as the managers are excellent leaders and inspire the people around them, bringing out the best in their team. The executive director that I work under comes to mind, she is a manager who has wonderful leadership skills and inspires confidence in everyone who works for her.