Not sure why this thread is devolving into such passionate debate but here are some reference pictures.
It's no secret that the less side wall you have paired with a larger wheel the more the vehicle will handle like its on rails.
Towed this F350 DRW a while back that had 24.5s wrapped in Atturo AZ800s, I knew the tires by tread pattern because I had them on my '14 5.7 1500, they grip and handle very well. This 350 was well over weight capacity for the tires. It probably rode like a train.

Same for my '91 Accord, stock tire size is a 195/60/15. I put a 195/50/15 on the rear. 10% difference in sidewall height, and the handling is drastically different at factory pressure (29psi iirc)
A stiffer side wall can accomplish the same thing of "less tire deflection/deformation" such as run flat tires, they are notorious for a stiff ride because the sidewalls aren't made to compress as much, so they drive like their on rails.
Comparing the factory 265/70/17 tire size on my '03 2500 too a new factory tire size of a later model 2500, 275/70/18, there isn't much of a difference in terms of side wall height.
4% difference on width and sidewall for a 10mm increase in section width.
Even with the same wheel size the sidewall and width difference doesn't change.
I run a 285/70/17 front tire and a factory 265/70/17. Front 285 is on a OEM 7.5" width wheel compared to the Rear 265 on a 9" width aftermarket wheel with more negative offset. Both Load E with a 121 LI, the rear Kenda 265(3197lb) tire has a higher max load than the front Toyo 285(3195lb). The rear Kenda is an MT tire, the front Toyo is an AT.
I don't think the tire size is as important as people think it is when it comes to load, for comfort and the wheel being physically able to roll over things easier, yes I would agree a larger wheel/tire size is better. Evidence being commercial van tires, often times they are physically smaller than most LT Truck tire sizes or even passenger tire sizes but they have a much higher max load/ carrying capacity. Think Transit van and Sprinter van tire sizes.
Load capacity comes down to the construction of the tire itself from the manufacturers intended purpose of the tire. For example I saw a steal of a deal($120) on 2 new 195/60/15 Yokohama tires for my '91 Accord, but they were UHP Summer tires. Factory size but they'd handle much differently, they had an A temperature rating but what's to say the mfg. didn't use one mixture or type of rubber compound on the tread compared to the sidewalls? The ratings on tires are subject to the mfg. and their testing.
Load capacity isn't in an exclusive linear relationship with tire size, at least for tires of this scale. Tires of the same size and same load capacity can drive differently from tread compound alone. Keep in mind truck tires for Light and HD trucks have deeper tread blocks aswell. They have a break in period before they aren't as "squirmy"