So apparently Starcraft II is "drmed" through battle.net - you cannot play a singleplayer game without logging in.
And then, of course, the EU servers went down and nobody could play the games they'd bought.
GOSH. WHO COULD EVER HAVE IMAGINED THIS.
(I should point out that I don't play Starcraft nor know anyone directly who's playing it, this is the story I heard coming through the chat mode in an entirely different game. Details may vary.)