There's been a lot of criticism about not attempting to recover the fumble. Something no one has mentioned is that Rodgers was moving backwards when the ball was fumbled, it almost looked as if he were falling backwards, so he would have had to shift his weight forward before he could have dived for the ball. By that time maybe the play would have been over. I don't know, I don't really have any conclusions on that.
As for the "he bails on plays" criticism, I took that to refer to how he leads the league in throwaways. Better to throw it away than risk a sack or interception, but there are some who think he is too concerned with his TD/INT ration, which is about the only part of his game that hasn't really fallen off statistically. Like maybe he's grasping that one straw he has left.
As for the window, if Rodgers can play at a decent level for the next five years without falling off a cliff, I see no reason why the window shouldn't be open. If they can surround him with top talent like Elway and Manning were at the end of their career, I see no reason why Rodgers couldn't at least game manage a team to a Super Bowl win.
I don't know if he'll play that long though, even though he has said he wants to. For whatever reason, the press likes to dump on him, and some fans too. Add in the frustration that GB hasn't been able to surround with another Super Bowl quality team. He may just decide he doesn't want to deal with it at some point.
I've heard a couple of commentators (whose name I wouldn't know if you asked me) basically say "Wow, Aaron Rodgers, he only has one ring, what a loser". Not those words exactly, but that was the crux of it. As if having one ring isn't an accomplishment in itself. You don't hear people saying that about Brees. Something about Rodgers makes him a lightning rod for these kind of remarks.