Hmmmm, how about this? I'm really stepping out into the dark side on this
If you whack the coach right then, you appear to be a reactionary jerk. He has the fans ear at that moment and if you whack him, it will appear that the coach is right.
But if you wait for the next opportunity, then push his buttons until he does something that appears to everybody to be deserving of a T, then reward him, you've just done what everybody expected. He won't have the fans on his side then.
If you subscribe to the pay side, check out Peter Osborne's series on Creative Ejections.