Or at least one of them? I really think that this and Claremont's mini might be the best interpretation of him, and pretty much all of the best Wolverine stories and runs since have portrayed him as Christopher Priest wrote him in this one-shot. This is a classic tale (Or it SHOULD be, grrrr!) that is mostly known for killing off classic Spider-Man supporting character Ned Leeds (Who was shortly after revealed to be the Hobgoblin, and then later not revealed to be The Hobgoblin, who was being controlled by the Hobgoblin, who was a dupe of the real Hobgoblin. It's confusing!). I read this all the time when I was a kid, and I recently got the one-shot in it's original form (It sells for about $10.). I can re-read it, but I remember this explicitly. It was by Christopher Priest (Who I really like.), and it was surprisingly gory and graphic. It also took more of an adult look at Peter, and he had to deal with the repercussions of accidentally killing someone (Which was the first time that he caused a death.). But Priest wrote a VERY good Wolverine here, and this is definitely one of the best takes on him.
If you haven't read this, please do. The story might be a little bit convoluted, but it is intelligent, deep and well-crafted. There was a What-If that they did about this story too, but I haven't read it (It might be worth checking out, though.).