I would tend to disagree with them. The idea of a game being objectively good is patently ridiculous. A game's objective 'goodness' can only be measured in terms of technical achievements; how good the graphics are (debatable since an artistic style, e.g. TF2's cartoonish look, can be enjoyed by some but not others), how well it runs, the effect it had on the industry as mentioned in the article and so on.
What makes a game good is the affect that it has upon you, the player. A terrible story, ugly graphics, broken or boring gameplay, these will all stop a game from having a positive affect on you. The reverse; beautiful graphics or music, a fantastic story, inventive and addictive gmaeplay, will make a game have a profoundly positive affect on the player.
But what makes graphics beautiful, a story interesting or gameplay fun? I would argue that it is based in personal opinion. For example, Jim Sterling of Destructoid claimed in his review of Assassin's Creed 2 (http://www.destructoid.com/review-assassin-s-creed-ii-155807.phtml) that the gameplay was dull and repetitive, the graphics ugly, the story "mostly forgettable" and the parts of the story focusing on Desmond in particular "tacked on, pointless and totally unnecessary". On the other hand, I found the gameplay to be enjoyable, if not revolutionary, the graphics (aside from the character models) to be pleasing and the story fascinating. Is one of us objectively wrong? Of course not.
So then, for the objective view of a game's merits advocated by the article to hold true, the affect that a game has upon the player, being wholly subjective, can't have an affect on the game's overall quality. This, to me, seems backward- surely when you tell somebody that a game is 'good' you are telling them that its affect on you was a positive one, not that its affect on the game's industry was large or that its graphics engine was above average.
In short, a game's goodness is inseparable from personal, subjective opinion.