Yes, exactly what I meant! I found it difficult to put it into words, but relating it to the Stylist NPC works well.
Veggi&Mac's solution works, but it really isn't quite the same as what I personally would prefer. I'm sure I'm not alone in this. It is too one-sided for someone just to choose how they see all sprites, because I doubt everyone would want to represent their own characters as whatever preference the other user chose.
For example, if I was to be on my Sin X, I wouldn't really want other people to see it in the Third Job version - I'm alot fonder of the regular Transcendent sprite. My Gypsy, I would probably want to keep switching between the two - I really like both.