Can the Hades Exist Without That Greek Mythology?

The kind of classical Greek mythological thing is is an inspired kind of setting for this game. Zagreus does exist in Greek mythology, but is a bit of a,. I think it's fair to say, Grey character in that his backstory... So we're already in the greatest of the Grey areas anyway. Apologist, any ancient Greek historians who don't feel that's the case, but these are not necessarily hard written down facts. So, you know, they're all myths anyway.