I love Infinite and find a lot of the backlash against it relatively unwarranted or nitpicky (too much gunplay is a legitimate beef because 2K wanted this game to appeal to the Call of Duty crowd)...but I think honorable mentions makes more sense for a game as divisive as that. It could have been a game of the decade, but given the development cycle that game went through it's a miracle it wound up being as good as it was. I do think I enjoyed the game more because I was so out of touch with gaming during college that I wasn't there for any of the hype cycle and massive changes, which allowed me to basically go into it basically blind aside from it being Bioshock in a floating city.
Elizabeth was a revelation as far as AI companions go, though...sadly Ellie stole her spotlight a couple months later and then it seemed like half of the gaming community decided that to praise The Last of Us they had to rip Infinite to shreds. I loved both of them and gave TLoU my GOTY in 2013 fwiw, but the 'it was never actually good' stuff was a reminder of why I had been backing out of gaming for the preceding decade.
For me Persona 5 pretty much laps the competition for game of the decade. It's the only game I've played for the first time as an adult that's hit me as well as games like Final Fantasy VII & Chrono Trigger did when I was a kid.