Does anybody else share my frustration with creating original superheroes in RPGs?

I know it's a minor issue, but I hate going through character generation in a superhero RPG (e.g., Aberrant, Masks, Venture City), creating a character, and then realizing that it's just like a preexisting comic book character, because then I feel like I'm not playing an original character but a derivative one

I know that just because a character has ice powers they can still be distinct from Iceman, Killer Frost, or Mr. Freeze, but I get oddly annoyed when I think that, if my character was part of a popular superhero team, they would be superfluous.

I know I'm overthinking this, but has anyone else have this issue and overcome it?