For me, as a mostly single-player gamer, this is absolutely great news. It means I won't have to struggle with the dilemma of buying some game that looks enticing but is tied to the disfigured carcass of EA. The last games I bought from them were Mirror's Edge and Alice: Madness Returns. Thank you, EA, for simplifying my buying choices!!
I don't have a phobia of multiplayer, but it has to be done right and fit in with the game. I'm currently having a great time doing Rayman origins in co-op (local, not over the internet, fortunately). I loved the Portal 2 co-op, though I wish I didn't have to connect to the internet to do so. I have incredibly good memories of playing Starcraft on LAN with friends, but skipped Starcraft II entirely because of freaking online requirements. Basically, I absolutely despise online only being forced into my gaming habits. I usually game when I don't want to be connected to the internet, but in another, seperate bubble.