I think that’s a symbolic continuity and while it may not make much of a difference from an outside observer I think the original you is still gone. I think restarting the same mind from unconsciousness of whatever level is different then flash copying a new version as the old one dies. Though I admit I lack the knowledge to confirm the difference. I think if your priority is that a continuation of your experience keeps going then the flash copy is fine. But the inherent possibility that both could have existed simultaneously even if artificial constraints have made it functionally impossible is evidence to me that they are not the same though again I could not explain why in granular detail. At this point we enter into the philosophy of consciousness and discard the physical laws. When I think of the terror of death though I am not assuaged by the idea of another me out there experiencing the life I could have experienced.