But why do helicopter captains sit on the right?
Helicopters often fly slower and lower than their fixed-wing counterparts. I believe the reason is so that helicopters can fly right-hand (i.e. a contra-directional) circuit at the same airfield simultaneously with fixed wing aircraft. However, many larger helicopters do not have lateral CoG limitations found in smaller helicopters which makes the former flyable from either the left or the right seat. (Mind you, some fixed wing aircraft do not have such limitations either). It's just a convention.
Just 2 cents worth from a dual rated pilot. I'm not sure if that answers your question though !