Steam may collect information about you aswell.
Sure, maybe not to the same extent as Origin. But at the same time, EA will never share your information to any third party without your consent...read the ToS
The site you linked doesn't say that the information shared by EA is COMPLETELY NON-PERSONAL and can't be tracked to you in any way.
Edit: Just realised they say that personal information will be shared with third parties. Which is a lie.
EA {l Wrote}:
EA will never share your personal information with third parties without your consent. We may, however, share anonymous, non-personal, aggregated and/or public information with third parties.
^ Which is what Steam does aswell.