The informal overview includes this caveat

> An important assumption going into the theorem is that neither Alice nor Bob is allowed, in any way, to affect the preparation of the initial state. If Alice were allowed to take part in the preparation of the initial state, it would be trivially easy for her to encode a message into it.

Couldn't the galactic emperor distribute a collection of entangled particles to a remote outpost, one for each day, that can be manipulated like a dead man's switch?

Every day, a light turns green, the emperor is alive?