I don't know that it's actually an unusual position, but it sure felt awkward and embarrassing during the exam. My former dermatologist would move my legs and put me in the frog leg position, one side at a time.
The medical assistant would instruct me to undress completely and wear the cloth gown with the opening in the back. She always returned with the doctor for the exam. With me sitting on the table, the MA on my left side and the doctor on the right, they would spread open the back of my gown and check my back. I was then instructed to lie back as they would both lower my gown to my waist and extend the leg rest to examine my arms, chest, and abdomen. With the top of my gown still piled on my waist, the doctor would then fold the right side of my lower gown on top of my genitals, exposing my right leg, hip, and waist/groin. So basically now, the only part of me covered by the gown is my left thigh and hip as well as the top of my genitals. If you were directly above me looking down, you wouldn't be able to see my genitals. However, from the bottom or right side of the table, they would be visible. Hopefully that makes sense. Once my right side was uncovered, the doctor would examine the top of my leg, hip, and groin area as well as my foot and toes. Then he would grab my right foot in one hand and my knee in the other, place my foot flat on the edge of the table, and press my knee out to the side. He would stand at the foot of the table and examine my perianal area, scrotum, and penis. Still holding my leg and knee, he would walk up the right side of the table to get a better or different view. Occasionally, he would lift or adjust the gown to get a better view of my genitals. He would then lower my right leg and do the exact same thing with my left side. Sometimes he would unfold the gown to re-cover my right side before uncovering my left, but sometimes he would just move everything so I was completely exposed with the gown piled on top of my genitals and right hip. I felt very exposed during those moments. The MA could not see much on the right side, but she always got a great view on the left. After examining my left leg, the doctor and MA readjust my gown to cover me and have me sit up. The MA slips my arms back in the gown and ties the back at my neck while the doctor examines my face, neck, and scalp. Finally, I am instructed to stand while the doctor squats down and pulls the right side of my gown out away from my body. I'm not 100% sure, but I believe he was looking at the top and front of my penis. That's about the only thing covered while I was lying down. He then had me turn 90°, spreads my gown, and examined my butt. I then turned another 90° and he looked at the left side of my penis. He leaves, the MA hands me whatever paperwork there is, and then leaves me to get dressed.