You're missing the big white elephant in the room. K lied about it at the presser and tossed the kid under the bus, on top of acting like a sore loser and a two faced dork. K has coached some pretty classless players in his time.
I hear what you are saying. I'm guessing Coach K was caught off guard that Brooks told the press about their conversation--> those are usually private conversations. K made a mistake how he handled the situation (as the coach/adult). Brooks was still an idiot the whole game, and seemed contrite when K called him out for it. Again, hopefully he will learn from this situation, since he has NBA talent.