I think it is, as you say, a misspelling, as Laurent Dodane was a French watchmaker from Besançon who made and sold watches under the Dodane name, including some Type XX to the French Air Force or the French Navy, I don't remember which, alongside the likes of Auricoste and Blancpain as well as Squale-cased divers watches. The company also sold or sells some truly horrible, market-stall 'fashion' watches with the name Laurent Dodane on the dial.
http://www.dodane1857.com/history/