The Wolverine of [SPOILER]'s Universe is The Most Ridiculous
To be clear, we're not talking about his Wolverham alias in Spider-Ham's dimension, because an anthropomorphic pig is evidently a commonplace thing to be, over there. Depending on the era and/or the Earth, Wolverine errs towards codenames which are, like him, short and threatening: Patch, Death, Weapon X, et al. But as with most X-Men tropes, there are exceptions.
"Logan," Wolverine's best-known civilian name, is itself a kind of alias; "James Howlett" is little-used but canonical, as of this writing. Other exotic and weird Wolverines have included: Super Hero Squad's Captain Canada, the Mojoverse's X-Baby Wolverine, and the Amalgam universe's Batman-mashup Dark Claw. And then in 2017, writer Jason Latour and artist Robbi Rodriguez introduced a Wolverine which retained the character's core personality and powerset, yet somehow ended up with the most ridiculous name yet given to the Ol' Canucklehead.
In Spider-Gwen#20, Gwen Stacy and Harry Osborn are on the run through the streets of Madripoor, where they meet a familiar adamantium-clawed figure known as...Mr. Murderhands. Actually, according to the origin-story interlude, it's "The Immortal Mr. Murderhands." Gwen, a well-traveled interdimensional superhero, quickly recognizes that she's dealing with some sort of Logan, but she's never met the Logan from her native universe before.
For those unfamiliar, Spider-Gwen lives on Earth-65, whereas most of Marvel continuity, including the classic Wolverine and the tragically-deceased Gwen Stacy, takes place on Earth-616. Earth-65 is known for looser, light-hearted variants on the core Marvel characters (e.g., Sue and Johnny Storm are more Instagram influencers than superheroes), as exemplified by this samurai-movie-influenced take on Logan, a.k.a. Mr. Murderhands. It's worth noting that as soon as Ms. Stacy and Mr. Murderhands meet, they both immediately have to fight The Hand, that is, the collective bunch of ninjas who call themselves The Hand (and also murder people) in both universes.
Logan's Earth-65 moniker is probably a nod to Edward Scissorhands, while also a very literal description of what Wolverine does, at which, of course, he is the best there is. The samurai topknot is perfectly consistent with the Japanese warrior aesthetic that informs much of his story, but the cutesy "Spring Break" t-shirt seems unlikely to make it to his Old Man wardrobe. It's fitting that Spider-Gwen should meet the most absurdly-named Wolverine, since "Spider-Gwen" is also a meta-nickname (it's not much use for keeping her identity secret) to distinguish her among the several Spider-Women, although officially she is (a) Spider-Woman, or, more recently, Ghost-Spider.
All these shifting superhero designations are a lot to keep track of, which is why it's understandable that in the interest of total clarity, one might find "Mr. Murderhands" the easiest thing to remember.