I've pointed out various issues with Rodgers but I hold the dome against Brees.
Brees: Inside 104.1 Outside 91.4
Brady: Inside 109.o Outside 86.9
Rodgers: Inside 109.0 Outside 102.2
It's not even like most of his outside games are in cold weather. Most of his outside games are in San Diego, Carolina and Tampa. It's not quite the same as getting Buffalo, NY or Chicago on your road games and playing in Foxboro and GB as your regular stadium.
Second wind is really a bigger factor than the cold overall. I think if you asked QBs 20 degrees with no wind or 40 with a 15 MPH wind or 60 with a 25 mph wind they would take the no wind. Of course both are just brutal. I think it's like Warner where he was great in St Louis or Arizona but put him in one of the northern outdoor stadiums and he would have lower numbers.