Stepping up as a leader requires knowing how to navigate between your management role and your leadership role. The former operates in a functional management space while the later operates in a strategic space. Each requires a different type of thinking. As a leader you need to be able to hold your own in the strategic environment. Not just of your area of speciality but much more holistically.
You need to know and understand where your credibility comes from and how to effectively influence.
Leadership coaching focuses on owning your space and building your credibility and influence.