The mystery of ‘Satoshi Nakamoto’ is among other things an exercise in the ritual way in which anonymity functions online. The ‘Satoshi’ mystery demonstrates how the anonymity of a creator, whether of Bitcoin or anything else, is a feature of the work-- a part of the product. That is, Bitcoin could be Bitcoin without Satoshi, but the story of a mysterious, benevolent Satoshi attracts a set of flattering assumptions fueled by anonymity that enrich Bitcoin as a brand.
The initial way that anonymity benefits a creation is by automatically generating interest, and not just interest as such, but positive, even reverent interest. Anonymity allows for reverence by shrouding the creator in a veil of alluring modesty: who is this person, who has piqued my interest by not declaring their identity? What deity would deign not to take credit for their work? The creator's apparent lack of ego attracts us by its initial appearance of rarity and saintliness, the sense that we are in the presence of an anonymous higher being, who gifts us with something of value without expecting material attention in return. For example, the anonymously published tech fiction Iterating Grace plays on this logic quite literally by announcing itself as a beatific critique handed down from on high by some mysterious holy man, smoothing its acceptance in a tech environment where even the mildest critiques can be received as unbearably harsh.
But maybe most critically, anonymity allows for positive attention by removing the barriers to fantasy about who the creator 'is'. A person with a known identity cannot be fantasized about and fashioned into one's platonic ideal the way that an anonymous creator can. Thus, Satoshi Nakamoto is beloved to the point of godliness-- absent any details, the public filled in their desired identity for Satoshi Nakamoto. 'He' is eccentric, unthreatening via his reticence, but also cool and dark, inhabiting the shadows, happy to be the giver of the gift of untraceable digital currency. The figure of Nakamoto is a synecdoche for his currency: by buying into Bitcoin you are buying a bit of Nakamoto's mystique, his egolessness, his untraceability.
The theory that Satoshi-contender Craig Wright ultimately doxxed himself is in line with the logic of anonymity as an amplifier of value that never quite becomes the property of the creator. That is, the more successful and beloved Satoshi became, the more the gulf between Satoshi and his creator grew: Satoshi was famous, mythic, obsessed over, while his creator (or hoaxer-- it doesn't really matter, since Craig Wright either imagines himself or desires to imagine himself the creator of Bitcoin) remained, in the tweeted words of journalist Adrian Chen, a "random-ass man in Australia with tax issues". Wright, like any creator eventually desirous of the love his product generates, grew unhappy with a lack of public recognition.
But Wright's dismay at seeing 'his' fantasy identity far outstrip the world's capacity to love him, as well as his audience's dismay at finding out who 'Satoshi' really 'is', is another inevitable phase in the anonymity trajectory. That is, the anonymous identities that creators create, much like zany corporate Twitter brands, are by definition more lovable than any particular individual, due to the way that anonymity enables everyone's individual or collective fantasies about the creator of a work. Anonymity is the absence that creates the possibility of a deified presence. Conversely, if an identified person decides they want to be beloved and mythical, it is harder to do so because a known identity eliminates the narrative potential for the audience to both fantasize about you and "discover who you are". There is nothing for the reader to dream about and then, in a fit of desire to make the fantasy real, to doxx.
Anonymity, then, is the authorial decision to add valuable mystique to one's creation by packaging it with an alluring, demure, but eventually doxxable figure: someone whose absence of known identity both makes them seem impossibly cool (via fantasy that fills in the mystery with what is desired) and also discoverable, in time. Anonymity becomes a compelling, parallel story to the product story itself-- a mysterious, suspenseful story about when and if the creator's identity, however less beatific than imagined, will be found.
All this is to say that Bitcoin didn't need 'Satoshi Nakamoto' to succeed, but whomever developed 'Satoshi Nakamoto' knew that by doing so they were adding an automatically lovable face to the Bitcoin brand, even if in doing so they condemned themselves to being Satoshi's perpetually inadequate shadow.