But then again, who is to say that the restoration process will take the form of thawing out the brain. An advanced digital scanning technique could imprint the brain image onto an organic robot, thus making it possible to have many copies of the same person.
I also find the concept similar to the teleport. You may be the person who goes in, but are you the same person who comes out the other end? Indistinguishable from you, only you are not the observer of your own reality.
[Edit: A couple of really obvious grammatical errors]