I agree with Kanz' explanation of things, but to go with the whole "name only" approach, there are still some names that need to be handled certain ways. For example, if you name your character Ares, and he isn't warlike at all, I'm gonna look down on you. You don't even need to reference any other part of his mythology, but that's what the name of Ares embodies.
But I've never been so picky. The only name I've ever thought as a "bad" choice in fiction was Adam, because apparently no character is named Adam on accident. Along with Kanz' rules above, this leads to very few stories where Adam is legitimately a proper name for a character.
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