This is true. But you can always be tracked by others players from your ID, which is displayed as team mates, spectating or kill cams. This is to help w/ reporting users. The Anonymous mode only changes your name to some generic name based off the legend you're using and does not change your ID. Streamer mode is a feature that removes player IDs from your screen to help w/ privacy of the other players in the match, which most streamers don't use.
Although it does not reveal the EA account, it still can be used to identify someone.