If you ran the primary chaincase dry, and just had the engine breather lubricating the chain, and greased any bearings in the clutch centre, the lubrication would probably be sufficient. On my bike I use a single row primary chain with a old style Norton clutch. It all sits out in the air with a metal guard around it. I just give the primary chain a squirt of lube before racing. The primary chain lasts for a lot of races. I always wire the clip.
A lot of things are theoretical. The Triplex chain on a Commando is probably overkill for reliability. But what comes out of an engine breather is probably enough lube for a primary chain.