OK, this might be a stupid/ignorant question, but what do they mean by "[it seems very unlikely to be true that] if a quantum wavefunction were purely a statistical tool, then even quantum states that are unconnected across space and time would be able to communicate with each other."? Why is this less likely than the alternative?

It reminded me of the single electron universe hypothesis by Wheeler(http://en.wikipedia.org/wiki/One-electron_universe) and wonder if anyone can speak to whether this changes perception on seriousness/testability of that idea.