After two days of talks, Japan and the U.S. say they are close to a trade deal, but the official statements are little more than political theater for key constituents back home, analysts say.

"Even if the economic argument is 100 percent…it's not, because [we] live in a political world," Asian Trade Centre (ATC) executive director Deborah Kay Elms told CNBC. "At this point we're in a little bit of political theater for both sides."