But do they have the name on the way to the Super Bowl and the big game makes the name stick?
Great question! Anybody else can chime in with their recollections? Here are mine.
I think the "Greatest Show on Turf" came after the Super Bowl win.
"No Name Defense" was before/on the way to Miami's undefeated season Super Bowl win.
Same with Denver's "Orange Crush" defense, and Super Bowl losses.
In the case of Miami and Denver, those were nicknames that were used to hype the Super Bowl matchups, but they had evolved from a sustained level of high performance IIRC.
I also forgot a few...
Pissburgh's "Steel Curtain" defense. Multiple Super Bowls.
Rams "Fearsome Foursome", but that only referred to the D-Line.
The Tarkenton-era Vikings defense was pretty good, I think they were called the "Purple People Eaters". Led NFL in scoring defense a time or two.
Dallas "Doomsday" Defense, Staubach-era, Ed Too Tall Jones, Randy White, Cliff Harris, Jethro Pugh. A couple Super Bowl wins and a couple losses IIRC.
Basically, I'd say
the sample size was well more than 4 games for a defense to be worthy of a *positive* name that stuck.
How about the "Four-Game Fading Phenoms" for the Hawks D after the performance against Green Bay?
Or the
"Swiss Cheese Defense" as Hawker84 suggested?