I couldn't find anywhere that Fallout New Vegas won any GOTY awards. Unless you count 1Up.com's "Best Broken Game at Launch" for their 2010 GOTY awards. In that case releasing a GOTY edition would be false advertising, unless they really want to release a GOTY edition based on an award given for the best broken game. Since it's already been said the DLC won't be released on disc, I think that also rules out a GOTY edition as well, because that would require releasing DLC on disc, like the Fallout 3 GOTY edition. If they do in fact release some kind of game+DLC edition, I guess they could always include DLC download redemption codes, instead of a disc.
You do know how this "GOTY" works, right? You only need a single nomination for calling your game "Game of The Year". Metacritic chosed
Super Mario Galaxy 2 the GOTY in 2010, so Nintendo can market the game all they want as GoTY. But the game really deserves the title? It was the only more or less "famous" award the game winned.
I'm not trying to diminish or bash FO3 nomination, don't get that way, but the game didn't win the 2008 nomination by critics and intitutions undoubtedly over other games like Fable II, LittleBigPlanet or Grand Theft Auto IV.
ME2 on the other hand owned the awards hard, being nominated and winning the majority of intitutions and magazines, some of wich are very respectufull, like BAFTA and AIAS organizations.
Bethesda only needs to make a poll asking the FNV fanbase who is the better game and voilá, a GoTY edition.
Or a special edition, complete edition, humongous edition and such.
I still hope we see an 'Complete Edition" of NV, it will be neat to have the game and all DLCs on hard copy.