In a perfect world, yes, that would be the case. But in large tent pole films and franchises such as this, the studio has control - the directer is a hired gun, paid to make the movie that the studio wants to be made, and the producers are the mouth piece for the studio (and most times, the movie is the producer's idea, they are the ones who want to make it, and they are the ones who convince the studio to fund it; they are the ones who commission the script, hire a director, etc). In the chain of command, it is the Studio, then the Producers, and THEN the director.
Studios give creative freedom to the director only as they see fit because money is the name of the game, and studios do NOT want to risk losing their money by letting directors do what they please. It takes a VERY good director with an extremely good and proven track record to get more control over the film they're making.