When the hell did he take a nuclear explosion? That is crap. He is not Hulk.
Spider-Man didn't 'take it off,' he had it taken off by Reed and managed to get it off via church bells. Wolverine would not be able to do that for the simple fact that the symbiote would be trying to kill him. The symbiote didn't want to kill Spider-Man, it wanted to bond with him. Wolvie's healing factor doesn't enter into the equation because the symbiote could and would suffocate him *that's usually the favored method of execution* and the healing factor doesn't protect against that.