Super Bowl Rings = Great QBs?

I understand a lot about football, but not everything.  One thing I will NEVER understand is how people say that, unless you win a Super Bowl ring, you are NOT a great quarterback.  Wait.  What?  I mean, how does that POSSIBLY define a great quarterback?

Let's look at this.  If that's how you define a "Great Quarterback", THINK about WHO you have to ADD and SUBTRACT from "The Great QuarterBack" list.

Here are the ADDITIONS:

Jim McMahon - Chicago Bears - Super Bowl XX
Doug Williams - Washington Redskins - Super Bowl XXII
Mark Rypien - Washington Redskins - Super Bowl XXVI
Kurt Warner - St. Louis Rams - Super Bowl XXXIV
Trent Dilfer - Baltimore Ravens - Super Bowl XXXV
Brad Johnson - Tampa Bay Buccaneers - Super Bowl XXXVII

I'll be willing to make an exception for Kurt Warner, but he didn't put up the best numbers in the NFL.

And these are the HALL OF FAME QBs you have to TAKE OFF the list, since NONE of them have ANY Super Bowl rings:

Dan Marino - Miami Dolphins
Warren Moon - Houston Oilers
George Blanda - Chicago Bears/Los Angeles (Oakland) Raiders
Sonny Jurgensen - Philadelphia Eagles/Washington Redskins
Y.A. Tittle - New York Giants
Dan Fouts - San Diego Chargers
Fran Tarkenton - Minnesota Vikings
Norm Van Brocklin - Philadelphia Eagles

Are YOU really willing to tell those Hall of Famers that they're NOT great QBs because they have NO rings?  I don't think so.  Then think of Ernier Herber, Otto Graham, Sid Luckman, Paddy Hall, Sammy Baugh, Earl Clark, Jim Conzelman,  - these Hall of Famers don't have Super Bowl rings either.  Sure, the Super Bowl that we know came after they retired, but still...NO SUPER BOWL rings.  If that's the mark of a GREAT QB, than that list, plus Luckman, Graham, Herber, Hall, Clark, Baugh, and Conzelman aren't and McMahon, Williams, Johnson, Dilfer, Warner, and Rypien are.  There is something drastically wrong there.

So, think again: Is the true mark of a great QB REALLY a Super Bowl ring?  Because if so, there are some average at best QBs that MUST be added and some great QBs that MUST be removed.