With 2.1 they have added the Aesthetician, and it is awesome! BUT!
You need to be able to save different appearances like you're able to do with your gear set! Not so that you can just switch around between different styles in an instance for free, you would still have to go to the inn and still have to pay the 2000 gil, but you wouldn't have to remake your different styles everytime you want to switch between them!

I want to change my hairstyle, hair color, face paint and lip color, but I don't want to change it as I'm very happy with my current look and want to be able to switch back to it from time to time, without having to write every setting down and remake it everytime!
Having to remake your look everytime is really inconvenient.