Managing his own players?  Can you say Christian Laettner? He's far more remembered as one of, if not the, worst sport(s) in NCAA history.  Additionally, of course, he has no business "correcting" the behavior of an opposing team's player.

You comment that he didn't say what Brooks reported is very interesting.  Essentially, you're accusing Brooks of being a liar.  He, of course, had absolutely no reason to lie about the exchange.  Coach K apparently felt he had a need to become testy when asked about the exchange and deny his comment.  "Locker room conversation"...that's between a coach, his staff and the players.  Last time I checked they were not in the locker room and Mr. K is not on  the Oregon staff.  He wasd clearly angered that Brooks mentioned the comment, just he was clearly angry that his team had lost to those damn upstart Ducks.