Why would you cross hoses? Where's the benefit? I do almost exactly what cave bum describes (slightly longer inflator @ 16").
I am guessing he is doing it from right, b/c his hose is too long to run from the left post. It really shouldn't matter in most open water cases, but since he is running an AI console, I also assumed that he is not getting into any significant tech diving. (As some instructors would make him get an SPG and wrist thing.)
I think having the hoses set up as simple as possible is just more efficient. It was my suggestion.
The main reason I can think to not run from the right post, is that is the post that is doing the most work, and therefore is most likely to enter into a freeflow situation. Usually turning that post off is pretty easy, but then you turn your B/C supply off too; same if your buddy turns your manifold off. Most doubles divers don't wear weight, and therefore would be in trouble. But usually this only happens in cold water...
But really it doesn't matter that much either way. It gets very expensive and takes alot of training to place in a complete redundant system. Dual bladder inflator, two computers, pony bottle set with a proper pp02 to match the deepest part of the dive, lift bags, reels...