I saw that, and found it a little puzzling. I'm thinking that this is Obama trying to take some political credit with his (in his words) "policy to pursue a world free of atomic weapons", but in reality I don't believe that there are any deployed. I'm pretty sure they're all in storage, and have been for some time.
The Navy has a standing policy of not confirming or denying what nuclear weapons are or are not on any specific ship, and it does cause some commotion from time to time. This happens constantly with our carriers.
You are right about the carriers.