The foreign box office should get a boost when the film opens in Japan.
Benedict Cumberbatch arrived on the 15th to start the PR for the film's opening. Over 1000 fans from all over the country showed up at the airport to greet him. He's more popular there than Tom Cruise or Johnny Depp.
In addition to a press conference and TV appearance, Benedict also introduced the film at 3 showings. He was given an Enterprise-and-John Harrison birthday cake (it's his birthday on the 19th of this month) and the fans sang 'Happy Birthday' to him.
During the press conference, Benedict commented that other members of the cast would be in Japan in August. Not sure if there will be a formal premiere or not, but it looks like Paramount is pulling out all the stops to ensure the film gets as much PR support as possible.
Cumberbatch is a major star in Asia and it's likely the boost to China's box office had something to do with his casting.