if disagree, the producer is the film maker and controls the director, though i understands george's set might have been different
That's not really how thing's work (and it's really not how things should work) on a movie set. It's not a democracy, it's a dictatorship, the director is the one in charge and it's the job of everyone else to work to the vision that they want.
Otherwise movies would take 24 months to get made, time and money is precious, you can't have 4 people on set arguing about what the scene they're shooting that day should be about.
When a movie set reaches that point, it's head towards a giant disaster and this is also disheartening to actors and crew ... they've been up since 6 AM and in the actor's case maybe in make up for an hour to two hours ... they want to step onto set and be told be one person what they are doing. Not told 5 different things by the producer, cinematographer, director, first AD, etc. etc.
That is a disaster if that happens. When it's time to shoot one person (the director) needs to know what they are shooting, what the intention of every scene is, how they want that shot (in a general sense) and then maybe the cinematographer gives some input on the practicality of certain shots. There is some back and forth with the actors who mainly want to know what they're doing in the scene and why. It's not the producer's job to go "oh wait, why don't we try making this scene funny? Or maybe this character shoots this other guy" or something, lol.