Ya only one person gets it.
For example, if you chose your appearance as, say..
You save it and load up the game. And say you have Juhani in your party. Once it loads, you look exactly like Juhani, like it should, not a problem... until you go to the next area. Once it loads up in a different part of the city/place, Juhani will lose her head while you still keep hers.