Why didn't they just sign the papers at the airport? *Spoilers*
If we're to believe that Claire Danes' was caught up in this elaborate replicant/clone/replacement plot manipulated by her controlling manager and security detail, couldn't she have been manipulated into just showing up at the airport, signing the papers and letting Mr. Phoenix get on his connecting flight?
It was clearly in their best interests not to have Joaquin involved, especially at that stage of the conspiracy. It initially makes sense since we don't know what's going on, but later on it just seems like a ridiculous oversight.