That's a viable take on the matter, to be sure, although the concept of human nature is unfashionable in the late-modern context.
I'd agree that everything's natural in a metaphysical sense, but that doesn't take us far since "nature" becomes somewhat vacuous when universalized. For existential purposes, I prefer to reconstruct dualism by distinguishing between nature-as-the-wilderness and the anti-natural aspect of artificiality.
Our technophilia reflects an awakening of life that sets us in opposition to pristine, prehumanized nature. So we're natural beings in some sense, but in another we're profoundly antinatural or virtually supernatural. Societies emerge naturally, but their evident function is a predatory or parasitic one. Thus, if everything serves nature's purposes, nature might be self-destructive or self-devouring.