Wings seem easier to enjoy. They practically have built in handles. They cause less of a mess and can be covered in a wider variety of sauces. Ribs seems to be exclusive to barbecue. You get a variety of barbecue sauces and cooking styles for ribs, but wings can be left plain, covered with buffalo sauces, barbecue sauces, and they can dipped in ranch or blue cheese dressing. Wings are also a tad less messy, and if you ask the average diner, the less mess, the better. The average barbecue eater may say messier is better, but they already have a bias for barbecue, so they are unreliable sources.
Prime rib seems fancier, but ribs from the barbecue are rather messy and sticky. Wings don't necessarily have to be sloppily chewed on. Barbecue ribs on the other hand are hard to handle with the typical fork and knife. Not only can you eat wings with a fork and knife, people in wing eating competition actually take the wings apart to eat them faster, and to help avoid contact with lips in case they are spicy