Considering the teams they went to, Josh Rosen, may have the best chance. It's difficult to have good numbers for an entire season, outdoors, in the NE. Guys like Bledsoe and Eli, all get off to hot starts, and fade once the cold crappy NE weather hits town. Brady has been an outlier. Even Favre, and Rodgers have had rough Decembers. Lots of 14-10 games in that kind of crap.
It was predictable that Lamar Jackson went somewhere with an established QB. He's going to need to get coached up. He's a work in progress, much like a Teddy Bridgewater. The talent is there, but he needs more development in the passing game. Teddy's probably quite a bit more intelligent. Lamar has better mobility. Teddy was never a big runner. Lamar falls into the trap that many of his predecessors have been through. Guys who are excellent runners, tend to make 1 read, and if it's not wide open, they take off and run. Guys like Mike Vick, Vince Young, Kordell Stewart, etc fall into that category. Unfortunately, when they are such good runners, they don't have to work on going through progressions to 3rd and 4th receivers. They don't have to work on their accuracy trying to fit a ball in a mailbox. They don't learn the little nuisances of the passing game like back shoulder throws, and throwing a ball short when the guy is well covered, to draw a pass interference. They are far too likely to take off and run in those situations, as opposed to a Brady, Manning, or Marino, who can't run, and spend that much more time working on their pass game.
For that reason, Lamar will be a work in progress. It doesn't mean he can't develop into a great passer, but it may take years. Teddy is probably alot more refined in that regard, because he's a little bit more like a Russell wilson... uses his legs for escaping the pressure, but still looking to pass.
"If life throws you curve balls, sit on it, and put it in the 2nd deck"..... yeah, well, that's nice, but I could never hit a damn curve ball.