For what it's worth, Pirates promotion will be in full force beginning today with press junkets the next couple of days, followed by the premiere at Disneyland on the 7th, and then several premieres to including Moscow, London, Cannes and Tokyo. I believe Johnny has been confirmed to appear in London and Cannes (and Disneyland, of course); not sure about the others. So, first, hopefully he will be mentioning DS in interviews, and second, I'm thinking that filming will probably be starting around the week after next, which fits in with Bella's remarks.
Johnny's appearance on Oprah airs tomorrow; I still don't know when the Larry King segment will air, and I haven't heard about other talk shows yet.