Just reading and rereading some of the posts here and suddenly recalled one of the (now) more amusing incidents of nudity with a doctor. It wasn't for an exam, however, though for what will be obvious reasons one had been required.
When I was a small boy (no, this isn't about then) I had severe kidney issues on my left kidney requiring surgery. The surgery left a fair amount of scar tissue, which ended up constricting my left ureter - the tube between the kidney and the bladder.
As an adult the constriction began damaging the kidney by backing up urine and causing distention of the kidney. So, my doctor sent me to a urologist who decided to put in a stent. For any of you who have never had the procedure it involves going up through the penis with a tube and leaving a secondary tube in place in the ureter. The sent breaks up the scar tissue and has to remain in place long enough for the area of the scarring to re-heal around the outside of the stent, opening up the ureter for better flow.
It's put in while you're under, but removing it is done in the doctor's office.
I had to have it done twice. The first time the doctor had me take off my pants and underwear, then lay back on his examination table. He and his nurse remained in the room as I undressed and got onto the table, balls up. The nurse put the flimsy paper over my lap, and the doctor sat down on a stool between my legs, tearing a hole in the paper and pulling my penis through. The nurse stood by my right shoulder through the entire five minute procedure, which was relatively painful. Several times she patted my arm and tried to get me to relax. As I said at the time, things are supposed to go the opposite direction.
During the procedure some fluid - I was assured it wasn't my urine - leaked out over the table, my balls, and the paper. I'd assume the doctor as well. So he wadded up the paper and finished the procedure with me completely exposed. The tube up my cock bothered me a lot more than the exposure. After he wadded up the paper I told the doctor I'd thought the covering was kind of ridiculous anyway.
Excuse the expression, but flash forward a couple of months to a second attempt at opening the area. The first time apparently hadn't worked and we redid the entire round of insertion, waiting three weeks this time, and office retrieval. The second time around the doctor simply told me to drop trou and get up on the table.
To date I've suffered through both of those stent implantations/retrievals, four inguinal hernia operations, three rounds of kidney stone blasting, a varicocele in my left nut, and a numb patch around an inch in diameter in my left groin eventually diagnosed as cut nerves after one of the hernia operations. That alone required three inguinal ultrasounds. Add to that an emergency room visit after yet another hernia operation which required me to lay, crotch uncovered, as five different medical people poked and prodded at my painfully swollen balls.
And people wonder why I have no issues with nudity during a physical.