I prefer no posting order, if it can be helped. I also encourage not tying your posts in to a specific person posting, because if they don't post, then you can't post, then it's a chain reaction of "Can't do without X". It's one of my biggest pet peeves to have someone say they can't post because of X not posting, when they can post. It comes off as "I don't want to post right now, so lemme blame this person". I'd rather you tell me you don't want to post.

But yeah, I see no real positives of a posting order. The only order I would have is Me, then the rest of the players, then Me. So on and so forth for the duration.