Leadership is what's needed for leadership jobs. It's in the title. All leadership is the same: inspire the troops, block the bullshit, elevate the good shit. How you do that changes by rank.
> The Peter Principle is that if you do a good job you get promoted, as you get promoted it gets harder, eventually you reach a point where your skills aren't enough to overcome the next level of difficulty increase.
The Peter Principle isn't about difficulty, it's about skill set. As you climb the ranks you need a different skill set. The job isn't harder, the job is different.