I am not sure if I am understanding the question, so I am not sure if I am answering it properly. But here goes . . .
First of all, all of my "school" exams were done with my private pediatrician. Same was true for everyone. My high school did not have the cattle call group physicals for sports. If you played sports you had to go to your own doctor for that examination.
ALL of my full physical exams always included and examination of my genitals - penis, testicles, cough-cough hernia exam, and bend over for a look at my anus (no finger). Now, if I went to the doctor for something else, sore throat, sprained ankle, etc., for starters, I always stripped down to my briefs or boxer shorts. I never wore anything else in there. And after checking out whatever it was that I went in for the doctor would tell me to take off my briefs or boxer shorts and he would do an examination of my testicles, always with the cautionary tale that testicular cancer was the most common cancer in teenage boys (which, by the way, is true).
So I never had JUST my testicles examined, but some might think that having your testicles examined after checking for a sprained ankle is a bit much, but it never bothered me. I think that boys of my generation were less concerned about such things than boys, and actually parents, are today.