Is Buddha Nature the original state, i.e. Awareness/ Consciousness without Existence?

Existence, Consciousness, Bliss is described as Brahman by Vedanta but surely that only applies when viewed through the veil of Maya and experienced as the universe. As awareness/ consciousness is always "on", no matter of what state it's in then surely awareness/ consciousness would still experience non-existence, akin to our lack of any experience in deep sleep. Is Buddha Nature Vedanta's opposite of Brahman i.e. Non-Existence, Consciousness, Bliss? Knowing that existence arises from Buddha Nature, non-existence, is this why we start to grasp and cling to the dream of there being any existence at all? Not that there is nothing but that there are no-things, no names or forms, no self, just awareness/ consciousness?