Actually, since the far away alien can only see the light coming from earth, the information about your future will not be seen by the alien until long after it happens to you. So, the alien can never be aware of your future, before it happens. Instead, he can only observe your past, information delayed by its travel at the speed of light. That bread analogy draws the slices as though they are instantaneously transmitting information.
There is no known method or medium of transferring information about the future instantly across the reaches of space (ie no "sub-space" communication) therefore, the video is misleading the viewer. The slices are only abstractions to help a mathematician or physicist understand relativity. The fact that different objects have timelines according to their relative speed, does not imply that those differences can be communicated instantly across great distances.