I'll throw in some experience with my truck.
I did a minor overhaul on my truck two years ago after i moved 2000 miles. I moved from Bremerton Washington to Muscatine Iowa. During the trip i had over heating issues. Mostly the engine running hot and from time to time bouncing the egt's off 1100 degrees. I was pulling a tow dolly with my 87 ranger 89 f350 fully loaded down with stuff. Total weight was probably 9000 lbs towing. More than once traveling i-90 through washington, idaho, montana, wyoming, and south dakota i had to let off the throttle to keep egts down below 1100 and coolant temps below 235. Anyway, during the overhaul i swapped out the stock radiator for the largest aluminum radiator i could find. I also pulled out all that insulation around the engine bay for less insulation as well as the fact that imho all that does is collect dust dirt and oil. Less than a year ago I pulled the heaviest wight so far for my step dad. I pulled a 1960s small ford tractor weighing about 8000 lbs on my newly bought 3 axle trailer which weighs between 3 and 4000 lbs. On my way to the delivery point there is a steep 7% grade hill for about 1/2 mile. I floored the truck going into the hill and had to downshift about 1/3 the way up. Still floored in 4th gear The truck stayed rock solid at 50 miles per hour. EGT rose and parked at 1000 degrees. Coolant temp rose and parked at 215 degrees. I have the banks wastegate turbo and it parked at 10.5 psi. No intercooler. Since it is not posted on my signature, i have 4.10 gears in the rear. Currently working on my axle to regear to 3.55 gears.
All being said the cooling system does have an effect on temperatures for engine, engine oil, and engine bay can be affected by ripping out that old matting. All that reduction in temperature should reduce the EGTs overall from my experience.
P.S. if i remember right my rpms was about 2300, i dont remember the rpms much as i was paying much more attention to the other gauges. To my surprise i never blew black smoke. My exhaust blew a light white smoke most likely from the cdr valve depressurizing the crank case.