^Yup and even though the OP ditched the conversation, you have valid points, IF the truck in question was offered with different drivetrain components, ie different transmission or rear axle rating or gear ratios.
However, that is not the case with new or newer GMs and hasn’t been for a while.
I looked up the towing guide and it’s weird/laughable, and confusing when reading the towing rating sub notes as they pertain to tire sizes.
afaik, the gassers (which the OP has although he didn’t say) only come with one final gear ratio and the definitely only come with one transmission. And the rest of the trucks are mechanically the same tip to tail. Only differences being weight of a longer model or 4x4 vs a reg cab 2wd.
Yet the towing guide doesn’t necessarily follow that.
just like the age old argument about 3/4 vs 1 ton ratings on here and other discussions, some ratings changes are purely regulation based ie gvwr ratings for purposes unrelated to the vehicles actual capacity compared to a similar model with all the same underpinnings.
This is the case here although at the extreme dumb end of understanding as related to tire size.
Any of you look up the towing guide should conclude the same.
Bottom line, for the OP, just tow what you want. If you’re within your tire weight capacity for rear axle weight and within the 33-34” diameters of the OE tire and rim options, you can ignore the stupid notes 3 and 4 that somehow assign extra towing capacity to mud terrains or 22” wheels options. They don’t compute.