If the source is going to make such a false claim, then you shouldn't listen to it at all.
Reggie did say that there will technically still be friend codes. But based on what has been said, it's fairly easy to see how it will all work.
1. Friend Codes are there, but only necessary for those restricted heavily by Parental Controls. This prevents young children from friending random people.
2. Without Parental Controls active, player will be given a lot more freedom, including the ability to communicate with and friend people met online (without ever seeing any sort of code), auto-exchange friend codes with people via this "Gamer Card" thing (if that turns out to be more than just rumour), and search for people by account name (which would also avoid seeing the actual friend code).
This is the sense I'm getting from what Nintendo has said. Friend Codes are still there, because they're the unique identifiers, not unlike IP addresses. But the new account system will mean that Friend Codes will only be necessary when one of the two people involved are heavily restricted by Parental Controls (because under such restrictions, chatting with/friending random people and accounts being public will be blocked). It becomes a best-of-both-worlds type system, and would not even slightly bother regular gamers.
If my sense is wrong, then I think Nintendo have made at least one mistake somewhere along the way, because I can't see a better way to set the system up than what I've said.