My outsider perspective is that the military trains its members in leadership skills[1] at practically every level, because modern great-power approaches to warfare rely on heavy devolution of decision-making and leadership such that leadership is a regular component of the job at all but (perhaps) the very lowest ranks, and because almost anyone might end up needing to act as a leader, situationally, even if they ordinarily don't do much of that.

(though, of course, an order's still an order—but, even there, their training in proper order-crafting focuses heavily on not making orders any more restrictive than necessary, so those receiving them have as much flexibility as possible to achieve the objective as they see fit—what you want, not how to do it, that kind of thing)

[1] Hey, look, training people, what a crazy idea, eh, corporate America? And not just with snake-oil bullshit seminars or online "courses" (videos with quizzes anyone with two functioning brain cells could have aced without watching the videos) or other box-checking crap that passes for training in the corporate world—actual training.