They... can though? Hades in Percy Jackson and the Olympians is a VERY different version of the mythological character than Hades in Disney's Hercules, which is a very different version than Hades in SuperGiantGames' Hades. They're not the same version of the character, but that doesn't mean any of them beyond the original 'worshipped in ancient Greece' (and even that one had a lot of different versions) are fake Hades.
Can't really argue with you here. Personally, every exposure I've had to The Punisher has left me with the impression that he's just a hyper-masculine revenge fantasy with a veneer of Good Guy polish on top to make him acceptable to the masses.
That's one of the issues I have with the whole debate, honestly. What counts a "Good" or "Evil" gets more and more nebulous the further into the weeds you get. Is killing someone evil when you know that killing them will save more lives at that exact moment (killing a suicide bomber before they can detonate)? What about killing someone when you know that killing them will save more lives down the line (killing someone who intends to become a suicide bomber)? On what criteria are you basing that assessment on?
In Frank Castle's case, I could easily argue that the character is evil, as vigilante murder is his immediate solution, and he never seems to actually care about proactively protecting or reforming people, just killing those he decided are bad. He's not motivated by helping people, but hurting them. But then, I can't say that's true of every version of the character.