I look at it this way: Rodgers is a leader. Is he the best leader in the NFL, is he an ideal leader? Of course not. Does he have room for improvement? Sure he does, but I don't expect that to happen. As some posters have said, he is who is and he isn't going to change.
Honestly, it doesn't matter much to me. Rodgers could have been the best rah rah leader in the world and the 49ers still would have crushed us yesterday. I like Rodgers, but I don't view him as some infallible god, like some fans. He's a human, he has pros and cons, like all humans. He shouldn't be viewed through rose colored (or green and gold) glasses). As a quarterback, his strengths outweigh his weaknesses, by a wide margin. That's why he'll be a Hall of Famer. But people hold him to some ideal standard because people crowned him the GOAT early on.