Green Bay would likely be a 1 or 2 seed, therefore they'd get a bye week.

It can certainly still happen, but its not just New Orleans that doesn't wanna play there.

Here's a nice lil scenario that illustrates your point...

Lets say Saints get the 3 seed (although #2 is more likely to me), here's the round 2 matchups...

Green Bay #1 loses to NY Giants #4.

San Fran #2 loses to New Orleans #3

NFCCG = NYG AT New Orleans
Also, had we beaten Seattle last year, the NFCCG probably goes thru New Orleans (we'd have gotten several injured players back).