I don't think the Animatrix reference was meant to denote a particular type of style. I think it was meant as simply a reference to the general format of the DVD. You know, various shorts produced by different creators to tell different aspects of the story that takes place between the two larger films.
More than likely, each creator will bring their own preferred style, but these pictures seem to indicate at least some of the variations we can expect.
http://www.kungfurodeo.com/kfr_gallery/ ... lbum&id=28
I'm sure we'll know more as we get closer to the release date.
Edited to add: Maybe this will help clear it up for you, Kast.
Batman: Gotham Knight was headed by an impressive list of directors who have brought their distinctly different anime styles to the classic Batman character. The production was divided among three renowned studios – Studio 4ºC, Production I.G and Madhouse – and included the truly inimitable visions of directors Shojiro Nishimi, Futoshi Higashide, Hiroshi Morioka, Yasuhiro Aoki and Toshiyuki Kubooka. With stories written by several of the most talented writers of film, comic books, and animation, including Academy Award®-nominated screenwriter Josh Olson (A History of Violence), David S. Goyer (Batman Begins), Emmy®-winner Alan Burnett (Batman: The Animated Series), Jordan Goldberg (Associate Producer, The Dark Knight), and award-winning comics writers Greg Rucka and Brian Azzarello, Batman: Gotham Knight presents thrilling new adventures of Batman that spotlight several of Gotham City’s most dangerous villains, including the fearsome Scarecrow, the freakish Killer Croc and the unnerving marksman known as Deadshot. Batman: Gotham Knight is produced by Emma Thomas (Batman Begins, The Dark Knight), Michael Uslan & Benjamin Melniker (Batman Begins, The Dark Knight), Toshi Hiruma and Bruce Timm (Batman: The Animated Series).