You don't get to the level and understanding of the game of football Rodgers has, without great and intense focus. I'd wager someone just doesn't like what Rodgers was saying, so they have to bring it up.
I don't think there is any doubt that Rodgers has a great understanding of the game, but I do believe he gets distracted quite easily by things going on around him. He himself has said that he used to just stay quiet and not comment on all of these things going on around him, thus acknowledging that they were weighing on his mind, but he kept quiet. He stated that his new stance is not to stay quiet and to use his platform to talk about all these things. That's cool Aaron, but how much noise and distraction are you creating for your team and teammates, in the middle of a season? Process and move on, don't let it continue to bother you.
Rodgers is a great QB and will go down in history as one of them, but I think one thing that has been both a blessing and a curse to Rodgers is his memory and the way he processes and holds onto information. He remembers so many things, details so specific, its a bit Rainman scary like. So yes, as a QB, having all the information and to be able to process it super fast, is an advantage and he shows how it works time and again. However, in the middle of a game, those short term memories of a receiver dropping a ball, running the wrong route or a missed block, etc. seem to haunt him and build up, finally boiling into frustration. Not saying he would be a better QB if he was "just a dumb jock", but I think if he could process and get over some things, instead of letting them distract him, he might be a more focused QB in crunch time. He might not come to the conclusion, consciously or subconsciously, that its Davante or bust.