Sure, playing chess needs intelligence, dedication, and good chess players are smarter than an average person. But it’s waaaay exaggerated in movies. I’m a math researcher, and in any movie, my department will be full of chess geniuses. But in reality, only about 10% of them even play chess.
Folk always seem to underestimate the effect of training and experience. In a match between two unpracticed players, sure, the more analytically inclined of the two will have an edge. This is true of any game with a strategic component. General intelligence helps but specialist knowledge is better.