Relationships mentioned as being important to women: This is the main point of the article. As the first sentence says, "enter the video game accessory as date killer".
Mentions shopping or accessories: Yep. The equivalent to video games and accessories are... shoes.
"Social" as being attractive to women: The end of the article speaks to double dates and games. Also games can "serve as a his-and-hers social elixir."
Women are seen as "casual" / non-serious users: I would argue that the description of Guitar Hero as a game that "encourages friends to duel against each other as spectators cheer them on" and therefore women enjoy it, is an attempt to make it seem casual.
Let's see, 4 out of 9 squares. I say we have a bingo.