> Could dominant vs non-dominant hand for operating things on the center console make a difference?

Large airplanes usually have a pilot on either side of the center console, and they AFAIK take turns operating the airplane, so if it made a difference, I'd expected it to be studied by the aerospace industry. Given that I've never seen it mentioned on any of the airplane incident reports I've read, it probably isn't a big factor, and I see no reason why it would be different for cars.