I get your point on the not being a handling vehicle, but the same logic still applies, less sidewall will create a harsher ride, but also more precise in terms of less sidewall flex. With my 20 x 35 set up I still have 7 1/2" of sidewall. This isn't my problem. I wish I could figure out how to attach the video I took yesterday of the wheel reacting to me rotating the tie rod.....Its either this or the steering box. I was hoping to find others that had narrowed down their steering issues to the same issue. I would appreciate the video if you can find it
I'm still gonna say the low(ish) profile of the tires does not help. To get the load rating it has, the sidewall will need to be pretty stiff. That will, of course, relay the road "feel" much better to the steering wheel, but only if the steering components are engineered for good handling. Wranglers' are not...
Consider this: even the F1 engineers were really up to a challenge when for this season they went from 13" ro 18" wheels. The high profile tire used to be a major componen of the suspension, and taking that away ment a lot of re-engineering.
Suspension on Wranglers is not designed for low profile tires. I do realize 35x12.5 on a 20 is "only" about 315/60R20 in euro size, but it is relatively low profile for a Wrangler, so whatever it is that is off in your setup, will be magnified by the wheel/tire combo.
Edit: I gotta say I like the look of 20" wheels on a Wrangler, if the tire is big enough like yours 👍