The comics, much like typical comic book movies, symbolize the over-the-top stories that we’re used to in movies these days.
Logan doesn’t need to distance itself from its comic book roots; rather it throws itself willingly into the arms of the comics.
Logan’s script is hugely successful, as noted by its Oscar nod, and its success starts with the fact that it gets its characters.
The beaten, downtrodden Logan gets to be the Wolverine in the pages of those books by time the film ends, and he goes out in a fashion appropriate to his character.