I like running. That makes me a runner.
I like knitting. That makes me a knitter.
I like reading. That makes me a reader.
I like playing video games. That makes me a gamer.
I like nerdy stuff. That makes me a nerd.
I identify with my hobbies and my interests because they are important to me. You don’t get to choose what I should call myself. You don’t get to decide if I’m a “real” gamer or a “real” nerd. You can create arbitrary criteria for what makes a person “real” or “fake,” but that has absolutely no bearing on my life whatsoever.
Now if you’ll excuse me, I have a game to play.