“the only way we can "see into" these different universes is through interference effects where the outputs of all the computers interfere with each other” <— isn’t the extent to which the parallel worlds interfere with each other also the extent to they are not really parallel worlds?

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Yes, that is correct. If the worlds were completely separate, and completely "parallel" then we would have no evidence of their existence, and quantum computers theoretically (and practically) wouldn't work.