Some styles may work better in a uniformed military environment than they would in the real world.

In the military, there are strict guidelines on conduct, whereas in the private sector, it's almost anything goes, and workers are often pushing the limits of what they can get away with.

Also, in the military, rank and pecking order are clearly established. Regardless of whether or not the style is "Leader-Leader", everybody knows where they stand with regard to who they need to salute, and who they must obey.