Originally Posted by Excelsior.
What conceivable reason would this version of Wolverine be wearing a mask and a costume? As far as we know, Fox Wolverine was never a part of Canadian intelligence service and later their first hero, hence the outlandish mask and costume. Plus, Fox's X-men universe doesn't have Superheroes who wear anything close to that over the top. Wolverine was supposed to evoke the iconography of Cap, Spidey and the rest of the Avengers with his look. But they don't exist in Fox's universe.
That was pretty much the reason they didn't go with giving him a mask in the first movie. Because Cyclops, Jean, Storm - they weren't wearing mask, why would Logan?