It’s not “exactly the sort of simple fallacy” you imagine. The number of people who could be members of this group is fundamentally finite.
Intelligence is not, as far as we can ascertain, finite.
An AGI will not only have integral access to the billion-times speed up for basic operations (sorting lists, counting, mathematical functions, etc.) but it will be able to adjust its programming (or neural weights and connections) on the fly.
Human beings will be outstripped in no time at a level that will be incomprehensible to us.
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