Quote from Rick_Dwell, maybe the guy had been changing his nickname repeatedly to more and more obscene or borderline offensive/racist names and this was the last straw. perhaps he was reported ingame using that name to be offensive.you can't get the whole story from one email a guy on SA (lol SA is still going wtf give up already) posted.
Similar things have been reported on on RPS. Either way, it's some super serious shit getting your EA Online account banned, since that not only removes access to, say, BF3 online, but BF3 altogether, and any game you've bought on Origin, and any game that requires logging into an EA account, like Dragon Age or Mass Effect. For Valve to ban a steam account, you have to some serious shit, like chargeback a payment for a game, or use your account to phish others and steal their info. A VAC ban, which is for people found to be using external cheat tools, only prevents players from joining VAC protected servers. VAC-less servers and all single player content is completely uneffected. Contrast to EA taking away all the games you've paid for entirely, over mediocre trolling at worst.