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All the same, couldn't Mochizuki could chew up the Bitcoin mathematics for breakfast and spit it out? Being Satoshi could just be a kind of footnote in his life. (I don't suspect this myself, but it's can't be dismissed that easily; certainly not on grounds of different mathematics.)

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No. Cryptography is complicated, it's not just something you dabble in and then put together a complex protocol like Bitcoin with few mistakes. Not even mentioning the large programming task to implement that effectively. Cryptography is it's own sizable field of study that takes a lot of work to master.

The bitcoin protocol is nowhere nearly as complicated as Mochizuki's proof. The Bitcoin whitepaper can be understood without difficulty by most "laymen", i.e. common programmers of modest ability such as myself. And Satoshi's original code was decidedly amateurish. Satoshi was clever in solving the consensus problem, but he's not some master cryptographer.

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