Well if I were to show up at the bank wanting to transfer $1bn I am sure I would get all kind of stares, but can not see a technical reason why they would not be able to do it. Difference with Bitcoin is you can do it completely anonymously, for all the good and bad things that go with that.
Except we're all out here talking about this and no one knows what other $1bn transactions have occurred in the banking system today so we're not talking about those.
He means anonymous from bank actors and state actors obviously. When you transfer money with a bank or wire service they know who you are and who you are transferring money to. Nobody afaik, knows who either of these wallets are held by.