Below is a link to an article reporting that North Gyeongsang Province (慶尙北道) officials plan to use "world-renowned media corporations," including National Geographic, to promote the "history, geography, and natural resources of Dokdo and Ulleungdo." They believe that a documentary on the islands will help strengthen Korea's sovereignty claim over Dokdo (Liancourt Rocks).
I do know about the other media corporations they plan to use, but I do not think their plan for promoting Korean sovereignty over Dokdo will work with National Geographic, which I suspect will want to give a more balanced historical description of the islands than Koreans may want. I think rather than promoting Korean sovereignty over Dokdo, such a documentary with National Geographic will only serve to inform the world that Korea's sovereignty claims on "Dokdo" are disputed by Japan.
Actually, I wish the "History Channel" would do a program on the history of Ulleungdo and Liancourt Rocks (Dokdo/Takeshima). I think that would be interesting.
Here is a link to the English article:
"Dokdo to enchant TV audiences worldwide"
Here is a link to what appears to be a Japanese translation of a Yonhap News article on the Korean plan: