He won’t win. This was his last shot. Imagine going to a division with Mahomes and Herbert that’s in a conference with Allen, Burrow, and Jackson (yeah Jackson is iffy here)
I'll just add on to this by pointing out that acclimating to a new system takes some time for a QB. Even Brady, the ultimate teammate, took a few games to get settled into playing in Tampa. I doubt Rodgers is going to have that patience nor command of whatever locker room he steps into. And hell, I doubt a coach like, say, Tomlin, is going to have the willingness to cater everything to his liking.
Fact is, despite constantly throwing tantrum after tantrum, GB is sorta Rodgers's best bet when you break things down. The NFC North is a creampuff of a division, and the QB power balance is swinging to the AFC. I mean in addition to Herbet, Mahomes, Allen, Burrow, and Jackson you also have:
-Watson (potentially) who's still a viable top 10 QB if he can shake the rust off if/when he returns.
-QBs who are, at the least, good enough to get you into the playoffs (Carr, Tannehill, Mayfield).
-QBs who have shown flashes of promise (Mac, Mills).
The NFC meanwhile has
-Two QBs who have 2-3 years left tops (TB12, Ryan)
-Wilson (who may be gone soon)
-Prescott, JG, Stafford, Cousins (guys good enough to get you into the playoffs but not yet proven winners).