No because SB trophies are team accomplishments. Anybody counting SB trophies and applying them to a QB is just bean-counting so that they can win some water cooler arguments.
Honestly I don't know how anybody could say there was ever a better QB than Dan Marino or John Elway, just to name a couple of the later-era types. Do you realize that for years Elway was called a loser by bean-counters? That is how much of an illusion this bean-counting game is. QBs don't win SBs - their teams do. It's a team sport and a team accomplishment that includes the coaches and front office and ownership. It includes every single player that contributed along the way. That includes Drew Bledsoe my bean counting friends because without Drew we never got that one in 2001. See how it works now? That is not "Tom's SB trophy".
you fall in the same trap as all of those who solely focus on SB as being the only "team" accomplishments . . .
what you failed to understand, or wish not to recognize, is that ALL of the QBs "stats" are team related . . . afterall passing yards and passing TDs are a team offense stats that ends up in the QBs columns, but they are no the less a team stat than a SB win . . .
for passing yards and passing TDs, you need good WRs, OL, TEs, and RBs that all work together to help the passing game, and same is true for passing TDs . . .and I would add play calling to them too, for example, do you give the ball to the RB at first and goal at the 2 or do you run 3 play action plays giving the QB the opportunity to get a passing TD . . .
even the MVP award has a team element, specifically team wins (the same win as a SB win, a win is a win) and your team needs to bascially be in the playoffs (12 out of 32 teams), look at the AP MVP race this year and Brees in 2008 on an 8-8 saints team with 5000+ yards . . . so even the more "individual" accomplishment, the MVP, has a very strong team element to it, namely, you don't win it unless you are on one of the top 12 teams . . .
so we can go around and around all day long, but the bottom line is that all of the QB stats have a team element . . .
so to single out SBs as a team stat and ignore the rest is not fully analyzing the whole picture