In the wing scenario (or any sauce scenario in general) if the extra charge for sauce is on the menu (it wasn't at hooters at this time) I will pay it and not argue, but if there is no extra charge on the menu, and it is something that is expected to come with the meal (bleu cheese with wings, catsup with burgers/fries etc..) then I can and will expect it to be provided at no additional charge. If you choose not to do this as an establishment I will complain to the waitstaff and manager, and I will stop going to your business in all likelihood. Will I take it out of the tip, yeah probably. Is that fair to the waitstaff? Maybe not, but I can't take it out of the managers check, and this is a way for me to show displeasure.
Somewhat related story with a very different result, McDonalds many years ago added a charge for sauces/additional sauces depending on what you ordered. I like my cheap high in fat fries with bar-b-que sauce, so I always asked for it. One of the first days the extra charge thing went into effect I placed my order, and the poor kid behind the counter couldn't figure out how to add the 25 cents. So he called his manager over, who also couldn't, and told me that they have not yet had someone willing to pay the charge, so could I please refuse to pay it so they could comp me the sauce. I pulled myself up to my most indignant height and with a large smile on my face (in an empty restaurant so it wasn't wasting anyone elses time or effort) stated that I have never paid for extra sauce and wasn't going to now. The Manager said "I understand your frustration sir and I'll take care of that for you today." We all laughed.