I never hated Wolverine because it was cool, but I did start to hate him when everything started to become "Wolverine and" the X-Men. Part of what made him interesting in the first place was that he was part of a team, in a whole (X-Men) universe of interesting characters. Writing as if all of those other characters are just background or supporting for him, really did not do him any favors, in my opinion.
I also liked him better when the healing factor didn't mean he apparently does not feel pain, and that all injury is irrelevant to him:
Don't try to pretend he's like Batman or even Captain America, if he can do stuff like that. Spider-Man can throw cars if he wants, and
he would at least pause for a second, with most of the flesh burned off his face. Not this little tough guy, though! Too badass!
Nah, stupid. Old school Wolverine, for the win.