It used to be part of the actual CNET ROTC syllabus, which is part of why you watched it as a midshipman. I, too, watched it as a Mid, and at the time, it was taught in concert with the concept of "Cycle of leadership" (that's not the right term and unfortunately I can't remember or find the correct name). Basically the idea of being hands on and direct vs eventually becoming hands off and letting the place run itself.
That leadership idea, along with the memory and lessons taught from the movie, were the single-biggest leadership concepts that I continued to run into and falling back on throughout my career. Be it a completely dysfunctional maintenance detachment that I inherited (without real professional knowledge on how to fix it initially) to taking over a unit where the previous OIC was fired and I was told to go fix the place by my O-6 boss. And many other less dramatic times.
I'm very grateful for that movie and the lessons taught in that senior leadership class.