Even in the best case scenario, where the servers all get fixed this evening and the game works flawlessly for everyone for a month straight, the damage to the game's name has been done. The meme is hatched: SimCity 2013 has a highly brittle dependency on poorly-planned cloud infrastructure.
There's a private region mode in the game (that you nonetheless can't use offline in the current architecture). EA needs to have Maxis crunch for the next couple of weeks to make this work offline. Yes, I've read the nebulous quotes about "part of the sim happening in the cloud." Whatever that is, they'll have to move it to the client.
Once offline play is possible, if EA wants any chance to make back its investment on this game, they're going to have to first promote the new offline mode, and then spend the next couple of months doing some post-launch rescoping of the multiplayer aspect. They can still make it work; it could still be fantastic – but they have to move fast.