Hello, welcome to able2know and thanks for your thought provoking contribution.
My view is that nihilistic thinking MAY just be an individuals desperate way of trying to disprove the possibility that there is a God.Nobody can prove categorically that there isn’t a God with or without nihilistic thinking so depending upon ones view we can only ever have hope that there is or isn’t a God.
To summarise the syllogism:
1. Nihilism may be an attempt by some people to disprove gods exist
2. No-one can prove or disprove gods exist.
3. We can only hope that gods either exist or do not.
While the first two statements may be true they do not lead logically to the conclusion that you deduce.
"Nihilism (/ˈnaɪ(h)ɪlɪzəm, ˈniː-/; ) is the point of view that suspends belief in any or all general aspects of human life, which are culturally accepted. Most commonly, nihilism is presented in the form of existential nihilism, which argues that life is without objective meaning, purpose, or intrinsic value. Moral nihilists assert that morality does not exist at all. Nihilism may also take epistemological, ontological, or metaphysical forms, meaning respectively that, in some aspect, knowledge is not possible, or reality does not actually exist.
The term is sometimes used in association with anomie to explain the general mood of despair at a perceived pointlessness of existence that one may develop upon realising there are no necessary norms, rules, or laws.
Nihilism has also been described as conspicuous in or constitutive of certain historical periods. For example, Jean Baudrillard and others have called postmodernity a nihilistic epoch and some religious theologians and figures of religious authority have asserted that postmodernity and many aspects of modernity represent a rejection of theism, and that such rejection of theistic doctrine entails nihilism."