Im gym almost every day at a new Y with individual showers. There are several, maybe five guys, in my locker bay who do a very artful process of undress and dress using a towel. Due to their skin tone and accents, I assume these guys are Middle Eastern and perhaps Muslims, whose faith calls for modesty regarding their genitalia. They have not one bit of awkwardness with their protocol. It is certainly not a towel dance and I respect them if they don't want to introduce everyone to Mr. Johnson and the Twins. These guys have it down to a science and I am sure that there is a "trophy dick" or two under those towels that could compete with any hung guy walking around naked. Let's not assume that the towel dance is just to hide a small dick or a sissie. Modesty comes from many things.
Case in point. I had a friend once, whose cock was about six inches . ( a discreet peek) I also caught him with a semi once and it was legitimately pushing 8 or 9 at that point. I came right out and asked him how big it got when hard and he said when he had the real hornies, it was about 11 1/2. From what I saw, I believe him, but I wished I could have measured it myself. Best not, as I would have lost all my manners and been on that thing so fast. He shared about being very self conscious about his size, that he couldn't pee in public unless he had privacy and that he wanted to join a gym but couldn't deal with being naked around other men. He would have been one more towel dancer at the gym.