And from both of their perspectives, it doesn’t matter. Continuity of consciousness really only matters in the future, not the past. If I die every night when I go to sleep and a brand new me, with all of my memories wakes up the next day, to that future me life is fine (at least until he dozes off). For past me, well they ceased to exist and there’s no point agonizing over their deaths. To current me, falling asleep then becomes a terrifying experience, as that means oblivion for me, and fuck that future doppelganger me. In the Prince’s scenario, unless he plans to piss off another witch, what happened to the previous him isn’t really important. For the princess, it’s even less important, as there is really no difference, from her perspective, of the two paths to arrive at now.

Prince Theseus