Who do you think over all can accurately call plays better, the quarter backs on the line, or the coaching staff in a booth or sidelines?
Are you asking whether a QB should be barred from calling audibles? Should coaches eliminate the hurry up and 2 minute offenses from their toolbox where the play calls are largely in the QBs hands? Should coaches not call plays with receivers in motion to give the QB an idea of whether the opponent is in zone or man and then able to make adjustments at the line? Should QBs be barred from calling timeouts when they don't like what they see?
If coaches thought that was a good idea then that is what they would do. Instead, they don't. How come? Because the play call from the sidelines is made with incomplete information.
Defenses are still subbing as the play call is made up to when the offense breaks the huddle based on the offensive personnel. The QB's helmet speaker is turned off with 15 seconds on the play clock. Once lined up, the QB has more complete information. It would be kind of dumb to not use it, banging your head against the wall.
The NFL passing game is chock-o-block with option routes based on subtle reads of the defense, the same read the QB is making. This is one reason why rookie receivers typically don't fare well in the transition to the pro game. Should coaches eliminate those receiver "audibles"? If they thought that was a good idea then they would. When asking why Rodgers had a high percentage of throw-aways last season the question isn't "what's wrong with Rodgers" so much as what is what is wrong with those rookies and that new expensive TE who isn't a very good route runner to begin with. The QB limping around the field for the first 10 games certainly doesn't help matters.
These questions belie a mechanistic view of the game that does not exist. The real question is whether the QB should override play calls in the huddle. Rodgers does that on occasion as was revealed this past season. So does Brees, overriding a run call to go to the pass with some frequency. Debate that.