In a game where you are playing a role you define with your playstyle, that makes alot more sense. Here, you are playing an established story. No matter what choices you make in your gameplay, the character in this game will always react how they would react in that situation. It's not really intended to be that style of immersive, it's an immersive storyline, but you are not playing an avatar that is intended to represent you, or your imagined character.

Tomb raider games managed to be best sellers in an age where it was "wrong" to have a female protagonist. I think this game will do ok.