We think of Wolverine as possessing the power of physical regeneration, but if you think about it, he also has the power of continuing to exist in existential limbo, in confusion about his identity and place in the world.
In the first movie, he has no memory, and has to deal with this. In the latest, everyone he “knows” has become a sort of stranger. He has even become a stranger to himself, in that he cannot remember how his life has been conducted over the last 30 or whatever years.
There is to my mind a mythic power to this. I have often wondered how I would deal if I woke up somewhere without memory. If a self is anything, it is habits, and the three habits I would absolutely want would be the rejection of self pity, perseverance (in all the forms it takes), and the capacity for and thirst for learning.