Rather, I believe that physical continuity alone is an insufficient criterion for persistence. Imagine that, at some point in this continuity, Person A’s mind was swapped with Person B’s, importing across her psychology and memories without affecting the physical makeup of her brain or body (Olson, 2002, edited Zalta, 2016). It might well be true that subsequent physical states of Person A are continuous with pre-swap physical states, but the fact that Person A is now governed by a completely separate mind makes her an intuitively distinct person. At the very least Person A would now be more identifiable with the body of Person B, suggesting that psychological continuity better accounts for persistence than physical continuity.
Though the copy (or copies) would not have physical continuity with the initial person that entered, so long as the copy retains psychological continuity we would not really be ‘dying’ at the point that we use enter the device. It is therefore safe to conclude that a reluctance predicated on a conflation of physical destruction with the cessation of existence would be