A few comments
In France where I live there was very few pediatricians at my time except for babies, so most of children of both genders, pre-teens and teenagers, went to a doctor family if they had one for all things ( a visit for injuries, a visit for illness or sickness or a routine exam to have a filled form for sports or summer camp if it was required before subscription , not for school or university or superior schools after graduation because physicals examinations were always conducted each one by year by the school or university authorities, and sometimes also the club or association or the city authorities for summer camp ot sport.
Normally until 16 age we were always accompanied by our mother, most of them did not work at that time, so that they were completely available to come with us and their presence was almost required by doctors to talk with them about our healths and ways of life and development, I must add that in a family it was not at all considered that a father might care about the health of sons or daughters, it was a mother fonction, even for teenagers !
We were never given a gown, it was only at clinics and hospitals if you were not coming for only a visit, otherwise it was the same, no gowns were given, It seems to me that it was the same for adults who were no more given a gown.
All shots were down on butts at that time at least for boys until 18 age. I must add that at military service between 18 and 22, all inductees had several shots after first days of arrival at barracks and all were done in their naked butts while now a shot in the butt is very seldom, most are done in the arms and shoulders.
And if a temperature was required, most nurses and doctors wanted that it was done rectally to be more accurate, it was the only way to take temperature at clinics and hospitals for every body and at doctor's office it was the way chosen by doctors for all boys under 16 and sometimes even after until 18 age, for last grade of high school, the mother who was gerenally present could look away or watch, it was not an issue for nurses and doctors. Now thre are only oral temperatures except for very small children.
My mother after I had 14-15 age was rather looking away when I was examined naked or with briefs pulled down ( hernia check, palpation of balls and examination of penis ) except if the doctor told her to come and watch, it happened only e time at 16 age for a rashon genitals area, it ws not serious !)
Normally we were weighted in just underwear, that meaned tighty white briefs at that time, almost all the exam was performed in just underwear after the questions, but sometimes at medical center it happened that a nurse told you to undress until briefs in a small cabin before the begining of the exam, so that you were for all the duration of the exam in white briefs even for questions while sitting on a chair, and same after when the doctor gave the results of the exam to my mother ( always to her until I have 16 age and a few times even after like if I was too stupid to understand even after 16 age!) and asked some questions again and signed a form or a prescription which was given to her and eventually the doctor instructed you to leave and dress again but only after all was finished.
As regards the brief, he was generally pulled down by nurse or doctor until 12 or even 14 age but after generally the nurse or doctor told you to do it yourself, either to pull it down, either to remove it like( at school examinations even for weigh-ins) but seldomly it could happen that a private doctor pulled himself or herself down the brief with fingers under the waist, even after 14 age, and you kept the brief around anckles, or were instructed to move to be naked if the doctor wanted to do a thorough inspection of the spine with a walk in the nude in the exam room ( like it was done each year at school mandatory examinations)
to "pdadoc "
I don't understand why the nurse after telling you to strip until underwear left the exam room while you were undressing before coming again to begin the exam, it was not more embarrassing for you to undress in front of her than to be seen after in just underwear.
You said that the routine was the same for all your exams and that you went to see the pediatrician throughout college years so after 18 age until around 21 , but did the nurse took your temperature still rectally after 18 age until you went to see an other doctor after college years.
It might be a strange feeling to be submitted to a toss up as regards the gender of the doctor since you did not know before the arrival of the doctor if it was the husband or the wife who came to perform your exam?, did they did it exactly the same or did you have noticed a few differences in the set up and requirements ? was it more thorough wiith her or with him or the same ?
Even after graduation of high school during college years all your shots were in the butt?