EA could actually shoot themselves in the foot with this.
Think of an organization like Anonymous. Individuals are not known. Groups like them could violate the ToS all day, and EA would have no rights to sue. Lets say a group like Anon, was to hack into, lets say, The Old republic, and bring the servers down when it is released. EA would have no recourse, except to file individual suits against everyone involved, which would cost them LOADS of money. And that would only be if they were able to identify the individuals.
Considering the world of pre-paid credit cards, and online gaming cards, you dont have to give any real information to the company. Then taking into account IP address maskers, this complicates everything further.
And individual could still sue them, but lets face it, it is easier to have a class action suit with thousands of people in one for the plantiffs. BUT how much would the legal costs be to EA if 10,000 people sued individually? EA's legal department would be working triple shift overtime.
Of course, it isnt effective for one person to sue a large company of a couple hundred dollars considering legal fees. BUT, with the way court rulings are done here in America, once the first case is decided in the favor of the Plantiff, ALL cases will follow suit. So a law Frim could end up, instead of having on case with 10,000 plantiffs, only need 1 case with 1 person to win. Then EVERY suit following that one would be in favor of the Plantiff. Basically the law firm would make the same amount of money, it would just take longer.