If not from Everett, I would expect from David Deutch to say: "You and I have a completely different sets of parallel worlds, for the Relativity sake. Every slightly different observer comes with his own Multiverse collection of parallel worlds."
Those people should update to the GR, it's about time.
http://www.scottaaronson.com/blog/?p=1103
Eliezer's gung-ho attitude about the realism of the Many Worlds Interpretation always rubbed me the wrong way, especially in the podcast between both him and Scott (around 8:43 in http://bloggingheads.tv/videos/2220). I've seen a similar sentiment expressed before about the MWI sequences. And I say that still believing it to be the most seemingly correct of the available interpretations.
I feel Scott's post does an excellent job grounding it as a possibly correct, and in-principle falsifiable interpretation.