Road feel, certainly. The rear tires on my Firehawk were 14" wide, and the fronts were 12" wide. There were suspension upgrades, as well, but the feel was completely different from my HO Camaro, which had tires probably half those widths. My brother bought the HO from me, and put wider tires/wheels on it. The rear got squirrely in the snow, spun more easily in the dry, and the steering effort increased. Note that these vehicles had power steering.
My son's friend has a Mustang for the drag strip. Power steering. He has 18" tires/wheels in the rear, and 4" tires/wheels in the front. The car is street legal (when not on slicks), but can't corner worth a darn.
Of course, at anything greater than 5 MPH, the steering effort is negligible.
One of the things that changes with wider tires is the pivot point. Fieroguru would be rolling his eyes at me, about now. Anyway, when the wheels stick out further from that pivot point, steering effort is increased, and handling falls off. Almost all of those old cars on 22" wheels that stick out and make the car sit high ride terribly, ruin the suspension and steering, and are actually unsafe for everyone around them.