I saw the film today and the score is terrific, doesn't sound notably like anything else in the Desplat oeuvre (which even for the best composers is a rare achievement -- I mean to not sound like just like their previous work, not to not sound like Desplat).
Also saw the movie and loved the score. Highly original. Desplat finds a way to score this film that does not sound like a typical western, because, well, it's not a typical western. The book by Patrick Dewitt is wonderful.