Dual cooling is 2 lines from pump to exhaust manifold instead of 1 line (single cooling). You would need a exhaust manifold that is tapped for 2 barb's to run dual cooling, and if you have 2 cooling lines in to the engine, you need the same or more out of the engine to take advantage of the extra volume of water coming into the engine.
Cooling usually starts at the exhaust manifold runs thru the head and out into the head pipe, then overboard/ tee off into exhaust. What your last pic shows seems pretty legit to me. You need to make sure the FCV is dumping the correct amount of water into the waterbox. Not to much, but not to little.
I have seen a pic of a Yamaha based engine that has dual cooling, where 1 line went into the exhaust manifold, and 1 to the head. This to me seems a bit strange as the flow would have a stagnant area somewhere between the 2 inlets, unless there was an outlet somewhere in between, but that would make little sense.
Dual cooling is not 100% necessary in stock or mild mod application. It can be a detriment of you live in a cold area also.
I am no real expert, but that should help you.