Ah, no, they'd definitely be dead. Or, well, their original body would be.
Though I don't know that it's terribly practical to live forever that way; I suppose that one could, but the problem with it is that the new body might begin to cannibalize the soul to sustain itself, at least theoretically speaking, which would inevitably kill the person in question.
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Though I don't know that it's terribly practical to live forever that way; I suppose that one could, but the problem with it is that the new body might begin to cannibalize the soul to sustain itself, at least theoretically speaking, which would inevitably kill the person in question.