Sure, no prob.
The long hose goes behind the right shoulder, down under the can light, back up infront of the left shoulder, then around the neck and into the mouth. A bottle on the right side can be clipped so that that longhose is forward of the clip. When this happens, the longhose cannot be fully deployed without unclipping the bottle. Since getting a diver gas in an expedient manner is of the highest priority (and exiting the environment, be it OW or cave), anything that hinders that is sup-optimal, and therefor shouldn't be done.
The lean left/rich right thing presents another set of problems (in addition to trapping the longhose). A system such as that fosters reliance on a particular bottle being on a particular side of the body. Assume for a second that the mate on the boat hands you the wrong bottle first, and you clip it to the wrong side. Switching to the wrong bottle at depth is almost certainly fatal.
Also, this system breaks down when adding a 3rd deco gas, stage diving, and requires a shorter hose reg or it creates a very large loop that can snag on things.
By placing all the bottles on the left, the diver is forced to check the MOD of the bottle (in big numbers on both sides) and cannot rely on a left/right placement to identify the bottle. This is an added safety feature of the system that helps to ensure the diver switches to the correct gas at the correct depth.