These great coaches with big egos flaw is just that, giving the quarterback freedom to adjust a play when he sees something he likes or doesn't like.
Audibles and completely giving up control in hurry up offense.
The RAMS 2 greatest offensive coaches in history Martz and McVay both had this flaw and both were bad with hurry up offense when trailing late in the game. It cost McVay a superbowl opportunity with the famous "JUST GOT IT OFF" series that cost them home field games in the playoffs. McVay was so worried about controlling the situation that he pissed away that game because of horrific time management.
Sometimes, giving the quarterback the reigns in times of adversity when the bullets are flying and time is of an essence is the best play at that moment.