It is a nice feature that Psy-kosh's problem that it pumps the confusing intuitions we see in scenarios like the Sleep Beauty problem without recourse to memory erasing drugs or teleporters-- I think it tells us something important about this class of problem. But mathematically the problem is equivalent to one where the coin-flip doesn't make nine people deciders but copies you nine times- I don't think there is a good justification for labeling these problems differently.

The interesting question is what this example tells us about the nature of this class of problem- and I'm having trouble putting my finger on just what that is.