Xbox Live and EA

Here is a snippet from the EA Terms of Service: (I highlighted the portion you need to pay attention to)

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The Xbox LIVE® Terms of Use

The Xbox LIVE® Terms of Use continue to apply in their entirety and govern your conduct while accessing EA Services through Xbox LIVE®. To the extent that Xbox LIVE® Terms of Use conflict with the EA Terms of Service, the Xbox LIVE® Terms of Use control.
EA is solely responsible for the operation and content of EA Services. Microsoft may collect and use information about you and your use of Xbox LIVE® while accessing EA Services through Xbox LIVE®. Microsoft's use and collection of such information is governed
by the Xbox LIVE® Privacy Statement (available at xbox.com or by calling 1-800-4MY-XBOX).
BY ACCESSING EA SERVICES THROUGH XBOX LIVE® YOU HEREBY AGREE THAT MICROSOFT SHALL NOT BE LIABLE FOR ANY DAMAGES OF ANY KIND THAT YOU MAY SUFFER WHILE ACCESSING EA SERVICES THROUGH THE XBOX LIVE® SERVICE, AND YOU HEREBY
WAIVE ANY AND ALL CAUSES OF ACTION AND CLAIMS THAT YOU MIGHT BE ABLE TO ASSERT AGAINST MICROSOFT ARISING OUT SUCH DAMAGES OR YOUR USE OF EA SERVICES. EA is solely responsible for providing all customer support and billing for services obtained through
EA Services.

btw, specifically it is this that annoys me (after searching around a bit), no more EA games for me. The one-time pass codes were almost the last straw, this really is it:

2. Xbox LIVE

If you sign up to play EA games through Microsoft’s Xbox LIVE Service, Microsoft will provide your Xbox LIVE user account information to EA so that we can establish an EA Online account for you. You need an EA Account (also known as an Origin Account) to
play EA’s Xbox LIVE titles.

To the best of my knowledge, EA dont store any Xbox Live details, there just own details for EA logins etc. Did you use the same password for EA login as for Xbox Live login?

that would be up to EA to sort as your are playing on an EA game on EA servers and not on xbox live. as with most third party games.

Also, Xbox Live is the main service that is used for gaming. EA’s service depends on Xbox’s. Banning should happen in both layers or either one. Since EA has no built-in mechanism in this game for reporting, and are directing us to report using Xbox methods, it’s pretty clear that the Xbox Live service is the appropriate place for banning. And note that those people are not EA’s cheaters. They are Xbox and EA’s cheaters.