If Wolverine's mask is deemed too silly for the films, then it's up to the writers and directors to devise a plotline where it isn't silly.
There are ways of doing these things.
Maybe Wolverine needs to hide his identity in the new, reset timeline.
Maybe he wears it for a mission because it gives him some additional benefits like night vision, etc.
Maybe Apocalypse gives him the mask as part of his transformation into Death.
Maybe it's a theatrical costume he grabs to put on (as in the Aronofsky script for The Wolverine).
There are ways and means of doing these things. Yes, it's going down the road of fan-service, but it is also a part of his classic comic book imagery.