Exactly. My pet peeve is military depictions in movies. I can't recall a movie that's gotten even the basics right. I may be nitpicking, but it does detract from the viewing experience.
And I can't immerse in the Game of Thrones because Nigth's Watch members stroll around in the snow without hats. Any person who was in the cold temperature for the prolonged time would recognize it as complete nonsense. Every time I see it, I get this feeling "this looks wrong", and then, "oh, they are without hats again!"
Black Hawk Down, Jarhead come to mind as modern examples of basically correct (though the behavior of some of the Delta force in BHD is overly exaggerated).