I've heard of stringing the G and A strings going outside instead of in to give a straighter path to the tuning post. I'm not sure that it actually helps tuning stability like some claim...maybe. I do know of cases with some instruments, like some cigar box guitars, that it does help by simply keeping the strings spaced apart more on an otherwise cramped headstock.
That said, I think doing it the way it is in the pic you posted just doesn't make sense. It looks like the C string is rubbing against the post of the G string's tuner. Other than that, it just looks wrong to me. I string up the traditional way. All strings go to the inside, like in the pic Booli posted.