mark
+1y
in my opinion, the reason is that the difference in tire's coefficient of friction. the softer compound low profile tire obviously have a higher coefficient. the tire grabs more, so the slightest bump will sometimes cause the bumpsteer.
another thing to consider is the tire's sidewall flex. the sidewall will flex more on the stockers obviously. the tire's deformation causes loss in steering response, but now with the new tires with a smaller sidewall, you have less deformation and a wider tire will help to lessen deformation, which improves steering response. the bumpsteer you are feeling is mostlikely just improved traction and response.
i've felt the exact same changes in all the truck's i've installed slightly larger wheels to. on my ranger, my mazda, etc.
even my dad's 89 mazda with 16inch wheels and tires that are equal in diameter of the stockers, now has a tighter steering and a very quick steering response just by installing a tire with a smaller sidewall. and these arent even "big" wheel upgrades.
just my 2cents