Re: counter rotating?
engine rotation is left hand for both. the difference is in the lower shift cable travel direction and the lower units. the left hand case is externally identical. the difference is in the propshaft bearing carrier and the thrust surfaces.
when you place the shifter at the helm,both, in fwd the cable that goes to the lower will move opposite one another, the L case pulls the lower cable for forward,which actually moves the clutch to the aft gear and the R case pushs the lower shift cable and moves the clutch to the fwd most gear in the lower.
both the aft and the forward most gear spin anytime the drive shaft spins, however they spin in opposite directions. the clutch is splined to the propshaft. if you move the clucth aft it turns to the left but the propshaft fwd thrust is now on the forwardmost gear. so now the shaft is spinning left and the fwdmost gear is spinning right while the thrust is causing the shaft to eat the gear surface. in the L case the thrust in fwd motion is taken by the aft gear by changing the setup of the propshaft and aft gear and bearing carrier.