I don't see why. His TOS hairstyle suggested a well-groomed officer who never thought much about his hair. His movie styles, and I think ST-5 was the worst, looked increasingly like a man who's making an effort in the hair department and trying to look younger than he is.
Even worse, the change in hair color from TOS to the movies was another mark of vanity that Kirk shouldn't have had. "I'm a soldier, not a diplomat." That's why I think light brown hair, short like on TOS, with some gray coming in would have been perfect for the films.
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Some fair headed men go dark with age. In my family all us men started like the children of the damned, and then increasingly resemble Greek sailors, assuming we keep the hair enough to tell. Same is true with the curls to be honest.