A pseudonym is a kind of name, so “name” is entirely correct, if not entirely complete (though, AFAIK, it is as complete as is known to be correct, since it is only widely presumed, rather than known, that the name is a pseudonym.)

Strictly speaking, it's not known if the name is a pseudonym either. There are people in the world that have that name and they haven't denied being the creator.

If it is said author's name, why have they not publicly claimed to be this Satoshi? Name one such individual who has credibly been considered to have invented bitcoin.

You want the name of the Satoshi Nakomoto who is most likely to be the Satoshi Nakomoto? The name? That's what you want? Are you sure you've thought this through?