Do they have to in order to be significant? Seems like the notion of being dependent on a deity is more Abrahamic than pagan: at least the pagans don't expect intervention, it just happens because the gods have wills of their own apart from human needs, whereas your god does it because it's in the plan and "benefits" humans. Though most of the time God just says no apparently.
Yes, for sure. Our gods want us to stand on our own. They'll help us when we're in dire straits but they expect us to stand on our own. And they don't demand our worship and adoration, or that we fear them.