Interesting points.
When I say I consider Heracles to be a mythical figure, I consider a myth to be a religion few people believe anymore and a religion to be a myth lots of people believe. That's simplistic but has it's points.
I think that, in the modern mindset, thanks largely to the superhero genre, the distinction between myth and superhero fantasy has blurred. To the average person, a Hercules story of any kind is sort of a prehistoric version of a superhero story.
I think back to the Dungeons and Dragons Deities and Demi-gods book which essentially took a dozen pantheons of gods, once worshipped as parts of religions, and made them fantasy characters no different than Gandalf and Arthur, Merlin and Frodo. By that time, Thor had been rewritten as a modern comic book character. Of course he was different by far from mythology but even Superman has undergone rewrites and restarts. And, yes, I've read the Norse myths. Marvel Comics is just Thor translated into the 1960s and to the present just as Hercules the Legendary Journeys was really a modern social take on Heracles and just as Superman 2021 is a 21st century take compared to what he was in 1938.
Without the American superhero comic book genre, probably no one would apply the term super hero to Heracles or Gilgamesh or Thor. But the term would not exist or have caught on without modern comics. Ancient mythology, pulp tales and such, to modern thinking, lend themselves to the super hero genre. It has been said that Jules Verne was the Father of Science Fiction but Edgar Allan Poe was the Grandfather because what he did was proto-SF or led to SF (He was most noted for what we call Horror but that wasn't all he wrote). At the very least, pulp is the grandfather of the superhero and mythology the great-grandfather.