Our kids were not left alone with a doctor until the age of ten or so. And then they were instructed about improper acts, questions, etc.
The pedetrician did ask my wife about guns once with our first child. My wife told him that was none of his business. I thought about quitting him - but he is REALLY good. And figure it is a standard question. He never brought it up again.
‘Left alone’ these days is with nurse and doctor, always two.
Question can be asked there too.