Favre got all kinds of criticism.
Its cause his INTs came at the worst times
2001: 6 INTs vs. the Rams
2003: INT in OT which was thrown to no one in particular vs. Eagles in the 4th and 26 game
2004: 4 INTs vs. the Vikings in the Randy Moss mooning Lambeau game
2007: INT in the NFC Title Game in OT when he had wide open Ryan Grant in the flat with no one around him
And of course
2009: INT vs. the Saints in the NFC Title Game that cost the Vikings a trip to the Super Bowl
Rodgers, for as underwhelming as he's played in both his NFC Title games hasn't thrown 4+ INTs in a game ever.
The Arizona loss in 2009 where he got sacked and the ball fumbled for the TD to win the game for the Cards... I think everyone could see on replay he got face masked

and the play before he nearly ended it with a pass for an 80 yard TD.
I think the criticism will start to mount if the Packers get back to the playoffs and keep royally screwing themselves over the next few years while Rodgers pulls a Manning and wins regular season championships.