@GTobia There are varieties of nihilism. That this is not the most pessimistic form you can think of doesn’t mean that the view isn’t nihilistic. Also, a fatalist is the opposite of someone who would say it happened by chance. The counterexample is still on point, however. It is quite clear that not all actions happen at random or by chance since directed actions demonstrably exist (and we perform them every day).
@wildpotato I don’t know if I’ve ever seen it in print. It’s the term I’ve heard tossed off for the view by a few metaphysicians (in the context of mapping the logical space of the free will debate). The few times I’ve heard the term used, it was clearly brought up just to dismiss it; so I’m not terribly surprised that it doesn’t appear on SEP. (Have you by any chance heard other terms for the view? I’d be interested if there is any sort of rival convention forming elsewhere.)
@LostInParadise Existential nihilism is the view that nothing has intrinsic meaning. It also contains the view that nothing we do really matters. The idea that we get to assign our own meanings is the existentialist response to existential nihilism (whereas the nihilistic response is to just conclude that nothing matters at all).