When is the last time Chi beat GB? Pre-Corona?
GB has more titles, (although Chicago ranks up there (SB + pre-SB)). I'd guess head-to-head all-time is reasonably close.
Lambeau Field gets the iconic award in my book over Soldier Field. I wouldn't be surprised if someone has already suggested a new stadium in Chicago just to shoot some life support into the Bears. On top of that, the angle of the stands just puts many fans too far away.