To be honest I probably wouldn't have chosen my pirates scars or tattoos, but as I have played her I have come to like these things about her, and I think these add a really fun and interesting narrative to the pirate you play... however i would probably like to change her face... It could be a good idea to add a form of customisation after attaining legendary status possibly through the order of souls, allowing you to change some things about your pirate such as face, hair colour, eye colour etc. This would mean that you have to play through a lot of the game with your character as they are, giving you time to learn to like certain things you wouldn't necessarily choose for yourself, it could also be a one time thing, so you can only change your character the one time.
I just think this might be a good way of allowing people to customise their characters without compromising the random pirate generator.