The Type-R was built from the ground up to be a driving machine. They focused hard on the steering feel.
The Stinger is a full blown GT. Meaning road trip monster.
If I remember correctly they both have Rack-Mounted power steering which helps with steering feel over normal column mounted steering in normal cars. They are both electric of course.... Sadly.
And one big thing, the Stinger is HEAVY. As in, literally the same or MORE than
Kia Sorento, and really close to a
Telluride. All depending on trim ect ect. This will effect steering feel, as they have to dial the assist up more to help with the weight, therefore you can't feel the small road imperfections and on-center.
Being a GT, its more tuned for comfort over track, hence the body roll. Eibach springs and sways going a long way, and you can even order them direct through your dealer (At least here at my dealership in Canada).
Putting it in sport mode will do nothing for body roll. It only adds a bit of damping in the front. People tend to forget the Stinger only has active dampers up front, and not in the rear. Again at least here in Canada. But regardless damping only controls how quickly it gets to max roll, NOT what that max body roll is.
The
G70 (Hyundai Stinger) has completely different suspension. Full double wishbone upfront, vs just normal Struts.
As most have said, different cars for very different things
You'd compare a Type-R more to the Veloster N, Golf R. Looser Comparisons Miata, BRZ/86, STI, WRX.
Stinger is more like a BMW, Infinity, Acura, Merc