Hal, you mentioned in your commentary that the non-existant ideal version of the movie would have Windu charge off to Palpatine by himself to cement this side of his character. Since we can’t do that, making him a quippy douchebag is close enough.
I remember that was one of the planned changes in Adywan’s edit of the film before he decided to give up on the prequel trilogy. I do think it would have been an improvement.