The Concise Oxford Dictionary, 1956:-
"viscosity, noun. Stickiness: (Physics, of fluids, semifluids & gases) internal friction, power of resisting a change in the arrangement of the molecules."
In high school physics and at the Navy Engineering Apprentice School I was taught that "viscosity" is a measure of fluidity in that Ice is not viscous and Water is very viscous or that honey is less viscous than water.
Therefore one would assume that a "high" viscosity oil is thinner or more runny than "low" viscosity oil. However whichever internet site on the topic I find contradicts that.
Regardless of all that, what is important when selecting an oil is it's "film strength" in the machine's operating conditions.
With marine gear boxes, usually if it has multi plate clutches, Auto Trans Fluid will be the correct lubricant. If it has cone clutches, engine type oil would be correct to use.
The gear box manufacturer's specs are best to follow and not necessarily the engine manufacturer's specs.
One thing I do know is that water will be very vicious in a gear box.

A few sites here referenced to oils:-
www.racq.com.au/cars-and-driving/cars/owning-and-maintaining-a-car/facts-about-fuels/understanding-engine-oil-designationswww.upmpg.com/tech_articles/motoroil_viscosity/www.driverstechnology.co.uk/oils.htm