OK, i misunderstood what you were implying in your previous post. So there are multiple streams of consciousness, one on each everett branch, and the memories returned on each everett branch are the ones in the (conscious+unconscious) brain that exists on that everett branch.

So I experience my mind always returning memories consistent with my branch even as other branch-mwengler's experience memories consistent with their branch, and like me, use that as evidence for their uniqueness.

So it really is an interpretation, predicting nothing different in experience than does copenhagen.