In these situations the asker is typically skeptical that your a "real fan", usually because of sexism.

It doesn't really matter how you answer because they're not asking for a genuine conversation, they want a dick measuring contest to prove they are superior. If you do fulfill their request chances are they'll nitpick the songs you chose and still accuse you of being a "fake fan".

Gatekeeping often comes with moving the goalpost so the only winning move is not to play.

A genuine asker would probably ask about your favorites rather than demand they answer trivia.