That's an adequate example, but you need look no further than simple, ordinary theists to find an example, theists for whom the "decision" of whether there is a god doesn't enter into religion. It is entirely assumed. "Religion," then, is what proceeds from there.In any case, what about Christian atheism? Sure, it may well be that theism, by definition, is committed to the existence of some god (so Christian atheism sort of paradoxically turns out to be a form of non-theism), but then again, Christian atheists and even sophisticated (or sophistry?) forms of protestantism are often formulated as commitment to a particular narrative (i.e. one in which this character, "God", figures prominently), without commiting one to any particular ontology or other...