This man is wrong. Games today are more story focused than they ever was. The problem of modern games is not bad story telling, it's that there are too much of it, and too little focus on solid gameplay.
I do agree that most games benefit from a story, and obviously a strong story is better than a bad story.
But games in the mid 90's had weak story and presentation. Just compare the story presentation of the original Tomb Raider to the upcoming Tomb Raider in 2013 or to Uncharted.
Or compare the story presentation of games like Duke Nukem and Doom to games like Modern Warfare and Bioshock.
In the past the story was something subtle you had to actively pay attention to while today developers make sure the story is forced upon you like a Hollywood movie.
It's night and day.