But over 20 years, and multiple roster constructions, and you have one through line...
And FTR, I have said I think Rodgers is the most physically talented QB in NFL history. But a million dollar arm and a 2 cent head only gets you so far. I've never seen a whinier on field/court/ice player than him, and I think that mentality is why we are where we are with him. The Patriots "culture" was Brady. Say what you want about him, but players respect him. All different kinds of players. He has a way of figuring out the Gronks of the world, and the Antonio Browns, and the Randy Mosses.
That strike me as a bit of an overstatement.
He's objectively one of the best to ever play that position, and it's not like he's been a BAD postseason QB, but not a particularly exceptional one. And it's fair to say he's not Tom Brady, but no one really is (especially considering Brady's modest physical and pure improvisational talent).
If he was several ticks better as a personality, would he have another title? I dunno, somewhere between maybe and probably, I guess. But in the end, it kinda white washes over two points. 1. Winning a super bowl is freaking hard, and sometimes weird. Drew Brees has one, Jim Plunkett two. No one is singing the praises of two-time winner Ben Roethlisberger above the shoulders. And if you can win a Super Bowl by throwing for 179.7 yards and less than a TD a game (beating the GOAT), there seems to be a bit of randomness to it all. 2. Teams put you in position to win titles. While defenses don't win championships as much anymore, they can lose them. He's has more than a few defenses that didn't make his life easier (like say Brady's first three, at least).
This is all to say that it's kinda random and weird sometimes. Brady was denied titles by hilariously inferior teams, and won titles with inferior teams. Rodgers is very, very good, and it seems unlikely he has some magic cap because he's a schmuck (which he seems to be!), but because that's sometimes how it goes.