Art by smbc-comics
Consciousness is often said to disappear in deep, dreamless sleep. We argue that this assumption is oversimplified. Unless dreamless sleep is defined as unconscious from the outset there are good empirical and theoretical reasons for saying that a range of different types of sleep experience, some of which are distinct from dreaming, can occur in all stages of sleep.
Pubmed Articles
Does Consciousness Disappear in Dreamless Sleep?
Sciencealert Article We Were Wrong About Consciousness Disappearing in Dreamless Sleep, Say Scientists
Though the simpler solution is that perhaps memory formation is paused over the period then the person 'lost' their memory to sleep.
Losing memories when you're wide awake is like a file system deleting pointers to a file. The file is still there, just inaccessible.
Anyways I feel that the assertion that "Creating and destroying perfectly identical copies of the information that corresponds to a person neither creates nor destroys people" is extremely dangerous thinking that could lead to the premature end of consciousness for some very unfortunate individuals. After all, they're perfectly identical and we have no documented instance of anyone sharing consciousness, so it may be that consciousness are unique and not commutative.