Assuming that you indeed have a 12 volt discharge pump motor on the Marine Elegance, then the problem is in the plumbing between the outlet from the head and the through-hull fitting. If a normal 12 volt Marine Elegance draws 18 amps while running, if they gave you a 24 volt model in error, it will draw less than 10 amps while running - roughly half the amperage of a 12 volt model. However, they are all tested before they leave the factory, so I doubt that's the case.
My strong suspicion is that you have a mineral buildup inside the plumbing lines that is restricting the flow. Calcium carbonate is a mineral that is in solution in salt (and semi-salt) water. It precipitates out of the water and builds up inside all plumbing, fittings, through hulls, etc. in much the way that old galvanized pipes at home used to get a rust buildup inside them. Eventually the passageway inside becomes so small that you can't get a pencil through it. So if you didn't change out your hoses and fittings when swapping heads, I'd take a serious look in that direction. Calcium carbonate is a white/gray color and it looks a lot like hardened concrete. It can be dissolved with muriatic acid, or Raritan's product, "Cleans Hoses."
That's another problem that shouldn't repeat after switching over to a pressurized fresh water flushing head.