Hmm I don't know about this one.
On one hand it is obvious that an artistic construct of any kind is generally hard to reduce to a number. It is an abstract approximation of a subjective appreciation, we all know that. Unless as mentioned, you start rating the pure technical performance which doesn't really hold much meaning either.
That said, I don't think dismissing scores is the way to go. While I applaud outputs or people deciding to go fully sans score (no, not you Eurogamer), I think that as a whole, scores are useful. I know everyone is dismissive and rather judgmental of sites like Metacritic or Gamerankings (or rottentomatoes), but to me they do represent an amalgamation of the global subjective abstract appreciations of a certain game.
And this amalgamation is a good way to measure the pulse,it is a good way to see the extremes, and a good way to observe what people find positive and negative.
Now personally, I care very little for scores, if a game get's 7 or a 9 it is unlikely to really modify my level of interest. I mostly follow specific reviewers, and read what they have to say because I find their observations insightful, or erotic, or whatever, but even then I'll often disagree with them. And this more direct interaction that I can have with a handful of people, doesn't really clash with the numeric values, but instead they complement each other.
After all this age we're in is all about discerning what information we find valuable in the chaotic ocean of stuff that is out there, shouting. And numbers are a good way to sift though it all.
PS: I never thought as Yahtzee as a reviewer, but more a commentator... Not sure if that's just a distinction without a difference.