I don't think anyone was paid myself, but I still don't think much of those reviews anyways. It came at a time when people needed a new game in this vein.. and it's not complete crap.. And it doesn't have much competition either.
But the whole Game of the Year thing makes it sound more awe inspiring than it really is. It's just a decent game. I'll leave it at that.
As for nailing their formula, I'm bummed out by that. Since I think they did some things better with DA2. I don't want them to have some impression that they did things wrong in the past, and are simply nailing it now. I think that game was treated in the opposite fashion: A lot of undeserved negativity. And now Bioware has been left with the impression it's only doing something right now.
The issue is, look at some other games on that list. Most of them are just games. Some of them are truly standouts in their genre, or in gaming as whole, but many of them are simply solid games in their genre.
Release date is a big deal, as we've seen. Something like The Walking Dead likely wouldn't have had a chance against The Last of Us. There are games on the list I enjoyed, some I didn't. I like Bioshock for instance, but I don't think it holds a candle to System Shock 2, or Bioshock: Infinite. Resident Evil 4 was an awesome game, but I would have put it far behind F.E.A.R., Devil May Cry 3, and Psyconauts. My point is, a lot of games on that list are just games, very few broke new ground (as good, and well executed as Uncharted 2 is, it's still the same formula as Drake's Fortune for example).
I'll agree with your final point. DA2's primary issue, in my mind, was a lack of development time, and polish. I'm also frustrated that the moral taken from the backlash was to scrap almost everything that I enjoyed from the game. That said, I generally like the result, Inquisition does a lot of things well in my eyes. I'll gladly admit the game's flawed in one key area, and that's sidequest with meaningful choices, and the lack of quest-givers with stories to pursue and development.
Edit: Saying that if the game came out this year it would have failed to win awards is irrelevant. Someone else once pointed out, if the game came out in 2000 it would have dominated the competition and like smashed sales records. If it came out in 2012 it likely would have won, and if it came out this year it may not have. Here's more news, if most anything went against something like Half Life, or The Last of Us, it would have lost, whether it be this, or The Witcher, or whatever. If Half Life 3 dropped tomorrow, then there's a good chance that anything that comes out in 2015 is out of luck come awards time. Timing is important, but Game of the Year awards are usually a pretty solid indicator of, at the very least, a good game. Absolutely none of the games on that list I would consider bad, even if Walking Dead isn't my cup of tea.