It is not a Coach's box is it a COACHING box. In both the NFHS and NCAA Rules it is defined as a coaching box, not a coach's box. It is a coaching box for a reason, the head coach is supposed to coach his team, not a bully pulpit for the head coach.
Some of you may think that I am being anal but if we are to be treated as professionals we must use the correct language of our profession. Calling it a coach's box is just like calling a player control foul an offensive foul in games played under NFHS/NCAA rules; there is no such thing as an offensive foul under these rules.