Interesting. I wonder why they'd want the oil pump to only run with the transmission engaged. I'd think you'd want oil circulating at all times. Though looking at the oil system, there are two oil pumps - a pressure pump to shoot oil from the oil tank under pressure to various parts of the engine and a scavenger pump to get the oil at the bottom of the sumps back up to the oil tank. The service manual is unclear if both pumps run from the same sprocket. It could be that the pressure pump is run only with the transmission while the scavenger pump is always running. That way, when all the components are running hard with the tranny going, the whole system gets shot all over with oil but when the engine is not working hard (transmission not engaged) the scavenger pump keeps the oil moving at a slower pace.
I got a better picture of how the clutch works now, but it's hard to imagine without seeing it work. I wish I could see the components running. It's pretty fascinating stuff.