When I was 7 - 13 yrs old especially, School Doctors in the UK used to fascinate me (even though I was generally nervy and a little anxious during the intimate part of the examination when I was totally naked). There were several reasons I think.
1. Doctors were authority figures to be respected and obeyed. My parents (especially my mother) really instilled this into me in a big way. (We were a working class family in a very tough coal-mining, railways, heavy industry, factories kind of town).
2. School Doctors just somehow seemed to have even more authority / respect 'bestowed' upon them. Plus, of course, doctors had the tremendous power to instruct you to take ALL of your clothes off...and look at / touch / feel your most intimate areas (all quite properly of course).
3. School Doctors had a slight air of mystery about them, especially to a working class boy like me. Unlike the slightly more familiar, slightly more 'homely' family doctor...school doctors actually did wear those long white coats (yes..with a stethoscope around their neck), collar and tie. They had brylcreemed hair/ brilliantined hair. In short, they looked like doctors seen on TV in programmes like Emergency Ward 10 and Dr.Kildare.
4. On reflection now, I am certain that a lot of them were sent from their University* Medical Faculties to gain experience in Paediatrics. What better way than mass examinations of the nation's schoolchildren, especially those in potentially 'deprived' areas.
5 Probably because of 4* above, they were terribly well - spoken, with cut glass accents. They were always very jolly, brisk and avuncular. Plus, they had a peculiar way of addressing you in the 3rd Person! "How are we today?" "Right, let's take our clothes off, shall we?"
Then it was always.."Splendid!" " Jolly good." Etc., etc. And they always used euphemisms. Never: "I am going to examine your penis and testicles", but rather "Right, we'll just see how things are down below shall we?" Never I wish to examine and inspect your anus." No...it was always "Right, now I just need to check your back passage." Always so quaint!!
At the end..something like: "Splendid. All done. Run along now, there's a good chap / lad / boy. Chop! Chop!"