in my view both sides just pretend to know the answer. Your question assumes that there is only one possible nature of consciousness, where there are a lot of tiny consciousness floating in the universe that can disappear.
But what if consciousness is just one, omnipresent, it doesn't die, just experiences all parts of the universe as subjective experiences, all at once, it experiences the universe through the senses of single atom, cells that make your body, but also you and whole humanity, on all different levels? if that was the case, the question "if I made a copy of me and deleted the original, what would happen to my consciousness?" doesn't make sense, because it assumes that certain mechanisms rule the consciousness are real without really knowing that that's the case. it might be the case that there is no "your consciousness" or "mine consciousness" but just consciousness