There are a lot of theories about why someone chose the pseudonym "Satoshi Nakamoto", but I have to admit that I can't remember anyone connecting him with Pokemon.
Plenty of them, even here:
Bitcoin Predicted During Pokemon in 1999Some others try to find the meaning of their own name in the series and go completely overboard
Brock Pierce explains the origins of "Satoshi Nakamoto"When he came off stage, Decrypt asked Pierce to explain his references to the Bitcoin founder, and the Pokémon connections to his own namesake, Brockanother character in the series.[Brock] is who Satoshi learns everything from, Pierce replied with a smile.
And there is more:
Hold up a minute, does this mean what I think it does? Satoshi Nakamoto, Satoshi Tajiri. Digital money, digital monsters. 21 million coins on the original chain, 151 Pokemons in the original series. Pokeballs, hardware wallets. Pokedexes, full nodes. Farfetchd,
Never underestimate what a bored mind can come up with!
So, in theory, is it possible that Satoshi Nakamoto got the alias from Ash Ketchum in original japanese name of the protagonist and watched the series and derived that first name and just added the surname Nakamoto from somewhere else as reference too?
This could be a kiddy stuff for most but what do you think?
Maybe he was watching Sailor Moon and he was in love with Sailor Victory, so he took the name Nakamoto to act like he was her husband.
Or, he was a fan of Neko x Neko, and this is just a reference, no comment on what that anime is about.