To set the record straight, I am not a thermodynamic engineer, or an engineer of any discipline. I am a civil engineering technician graduate who spent his working career as an industrial maintenance mechanical technician. During those two phases of my life (school and work), and also since retiring, I have gleaned many tidbits of information from conversations, reading, and experimenting. I can't remember a persons name 30 seconds after being introduced, but I can recall most of these tidbits from as much as 60 years ago. That recall, with applied logic, leads me into these conversations. Take my conclusions with a grain of salt. Please, research the topic for proof that I am either correct, or spreading bull feathers.
When it comes to spark plugs, I tend to leave them alone for 1000 hours if they are working correctly. It sounds as if you're going to need to research spark plug heat ranges and their effects in order to find the right plugs that will work with your engine. I would consider 2 different heat ranges for what is apparently an asymmetrical cooling of the cylinders due to differences in the coolant flow pattern within the engine.
I have no numbers for flow or temperature changes in cooling systems. What I have is experimental data for flow vs temperature change from a solar heating system for my swimming pool from 30+ years ago. Different application, same requirements, extract the maximum amount of heat with an acceptable difference in temperature from the flow available.
Environmental conditions will always affect cooling systems, and GT engines work in widely varying conditions, from -30°F to +100°F or more. This will most definitely have an effect on the rate of cooling through a radiator, as you suggest. The design objective is to have proper cooling to maintain operating temperature under all working conditions. Not easy to accomplish considering the range of ambient temperatures and the work load expected. Both ends of the range will be 'iffy' at best with a correctly functioning thermostat. Heat extraction at a 190° temperature differential is going to be rapid at the lower ambient temperature and not so quick with an 80° temperature differential at the other end of the scale, given the 20° range of a 160° thermostat from just open to fully opened.
I would suspect that the spark plug issue is more of a Kawasaki problem than JD's. Gen sets also live in an enclosed box and I would surmise that they would also experience the same issue.
The thermostat should be rated for 160° with the hydro oil cooler in the rad. Engine oil and hydro fluid share the same properties when they are heated. The difference is that engine oil has a built in cooler, the oil pan, which is hanging in the breeze below the hot engine, and it also has a much lower flow rate.