There can be no oblivion if you experienced it. I would suggest reversing the idea that conscience is part of a being and instead suggest that consciousness is inherit in everything because it is everything. Within or without a being.
(And, no offense, I get the George Harrison reference, but saying that consciousness "is everything" begs the very question of evaluating panpsychism critically. I'm posting this because it is counter to my own longheld beliefs that consciousness is inherent to being.)
My consciousness did not exist. I had no awareness of the passage of time. There was no observer. No dreams. From my perspective, I teleported from a chair to another room, with an existential discontinuity in between. The only "experiencing" was after my consciousness was brought back online.
I cannot describe it to you sufficiently with words, and you likely cannot understand it sufficiently without ceasing to exist for yourself. Are the dead aware that they are dead? It seems, from my perspective, that for those 45 minutes, my consciousness was extinguished, not unlike that of someone fully dead.
(Not that I have first-hand experience being fully dead, of course! And, in a conversation about panpsychism, I suppose the experience of being a dead body isn't something to discredit as "nothing"!)