Earlier quoted context omitted.
What would the implication be? Do you assume that it's absurd to consider that a conscious being is really no different than any other memory equipped machine and thus can be in a superposition state like anything else without necessarily "feel" anything special about it?
Considering no machines are conscious, yes, it is absurd.
Besides, why would it matter if the observer is conscious or not?
Our psychology is biasing our reasoning about these thing, leading us to attribute something magical to the process that make us "us". It's understandably utterly disconcerting to lose the ground under the sense of self that we inhabit, but that's not a reason to discard, a priori, a line of questioning reality. I know it's hard to shake this uneasy feeling off, even for non-religious people.
But let's imagine for a moment that whatever the substance of our consciousness actually is, it can be forked/cloned into copies of itself that no longer share the identity after having been cloned, yet retain the memory of past events (external or internal to itself). I realize this is a bold assumption, but arguably less contentious to accept than whether machines can ever become conscious (perhaps because it sidesteps our innate aversion for outgroups, non-biological entities being extremely outgroup).
Now, imagine you fall asleep and get cloned in two, and the two resulting persons are put, still asleep, in two rooms (room 0, and room 1). After an hour they wake up. They both have copies of your memories and both have a copy of whatever-the-thing-that-holds-consciousness is (soul, matter, different kind of "stuff", not really relevant, as long as it's not incompatible with the "cloning postulate"), so in a way, they both think they are _you_; they feel a direct continuity with what they were before falling asleep and getting cloned. They'd have no way to tell which of the two entities they are though.
Imagine now being one of them. You get out of the room and peek at the room number on the outside of the door. Which number will you see?