I don't think you appreciate the choking dog that is Peyton Manning. Aaron Rodgers has lost the following playoff games:
2009 in OT to defending NFC Champs ARI despite scoring 45 points
2011 to eventual SB Champs NY Giants, who shut down every QB
2012 to eventual NFC Champs SF 49ers, an insanely good squad that won in Foxboro that season
2013 to SF 49ers, basically that same squad again
2014 to defending champs SEA, who went to their second straight SB and nearly won
Besides ARI, these are all incredible defenses and the teams were completely loaded with talent. It's not like Rodgers stunk in most of these games either; he played about as well as you could expect a QB to play in the playoffs against absolutely ferocious defenses, often on the road.
This isn't Peyton Manning throwing pick sixes, vomiting on himself, and forgetting how to run an offense while losing at home to a 9-7 team that's about to get bounced by forty points in the next round.