Ah rationalism, my mind blocks out unpleasant things all the time. There’s no proof the Universe wasn’t farted out by God. In this case, I guess I’d treat it as any other fantastical statement: extraordinary claims require extraordinary evidence.
I think people who liken consciousness to a collection of properties make the same mistake as people attributing language comprehension as a property of consciousness. You cannot put discrete elements together and call something a ship any more than you can put discrete elements together and call it conscious. A translation app can see and translate images from one language to another, but the app is not conscious.
Regarding the changes a conscious being experiences over time: you can change on a chemical level (as one does over time), you can change on a genetic level (this also happens for any living thing over time), and you can change over an organism level, but you remain the same person (even after you get up from sleeping) because you maintain some internally directed sense of self. Internal self-direction is a key property of consciousness.