As a stunt guy, you become a mini-director. You're talking to actors about performance.
Film is a collaborative art form. I don't know why you wouldn't recognize the stunt performers.
People have given their lives to this industry to make movies compelling.
Stunt coordinating is a good training ground for directing because you have exposure to all the departments in film.
The way you present a stunt is tied in to the way you photograph it, so you're hanging out with the cinematographer.