EA had highlighted some of the functions of the Wii U online service on their website while detailing what Origins gets from the console.
For comparison's sake, here's what they note for the PS3 and 360 as well.
http://www.ea.com/privacy-policy
If you sign up to play EA games through a Nintendo Wii U console, your Nintendo account information will be provided to EA so that we can establish an Origin Account for you. You need an Origin Account to play EAs titles online. By signing up to play EAs titles, you agree that limited user account information can be transferred to EA. Information transferred to EA includes your Mii information, email address, Nintendo Network ID, friend list, country, language and date of birth but does not include credit card number or other financial account information.
For comparison's sake, here's what they note for the PS3 and 360 as well.
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 Origin Account for you. You need an Origin Account to play EA's Xbox LIVE titles. By signing up to play EA's Xbox LIVE titles, you agree that Microsoft can transfer your user account information to EA. Information transferred from Microsoft to EA includes your Gamertag, email address, state or province, country, language and age but does not include credit card number or other financial account information.
If you sign up to play EA games through a PlayStation®3 system, your Sony Entertainment Network account information will be provided to EA so that we can establish an Origin Account for you. You need an Origin Account to play EA's titles online. By signing up to play EA's titles, you agree that limited user account information can be transferred to EA. Information transferred to EA includes your name, email address, online ID, country, language and date of birth but does not include credit card number or other financial account information.
http://www.ea.com/privacy-policy