Just some numbers for the argument.
You can see the 1500 is pretty competitive with trailer weight...the 2500 can haul though.
And most definitely Engine, transmission and rear gear greatly affect the towing factor of a truck.
The hauling isn't affected much at all and rear gear does not matter.
The 5.7 cannot even be had in a 1 ton dually and is rumored to be leaving the HD Arena.
And the 30000 plus tow ratings are a very specific truck of the 1 ton variety.
Your right, the reference I found was actually listing a 3500 in it’s 3/4 ton list:
https://www.car.com/buying-guides/best-ton-trucks-10038/
However, I believe the tow rating on that 3500 is transmission limited and won’t increase with a bigger motor, even if a bigger motor will accelerate better.
For the numbers, I think that every motor may have a different transmission/drivetrain/axle setup (I know the diesel does, and the 6.4 has a 1000 Lbs of extra payload which implies a better axle/suspension/something). As such, we can’t use this as direct evidence that a different engine alone significantly effects payload. If it turns out that the extra 1000 lb payload is purely from the engine with no other component upgrades, then I would agree that the engine affects the payload more then I thought and throwing a 6.4 in the 1500 with a 3.21 gear could give you better towing and decent mpg.
Comparing the 1500 to the 2500 is tough due to the transmission as well. We really don’t have any apples to apples comparisons.
The closest I can find is comparing an Ecodiesel to a 5.7; with the 1500 classic quad cab with 3.92 gears, towing increases by about 1245 lbs. this is admittedly a good chunk, but not as much as even the gearing swap from 3.21 to 3.92. The engines also have much different hp/torque ratios and may also have other component changes effecting towing, so it is tough to even use this as a direct example.
I understand that the engine will dramatically effect ride quality as you reduce the struggle on hills and during acceleration (which I think is the ultimate reason the engine options are limited), but my post was geared towards the manufacturer’s rating. I need to dive into SAE J2807 to see how acceleration affects the rating.
I also agree that you can exceed the rating, though you should know what you are doing when you do so and watch the trans temps etc.