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Intelligence is hard to define. I believe that some people are "exponentially" better for very specialized tasks, for instance, solving logical puzzles, or internalizing rhythm in music, but it isn't necessarily noticeable, and doesn't translate to great accomplishments.

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Define it rigorously. We have, in terms of the amount of computation in m time steps.

Nothing about that is rigorous. You still haven't convincingly demonstrated that computation works as a remotely serviceable analogy for intelligence.

No part of this is remotely rigorous. It all hinges on a few house of cards-like permises.

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