Sorry you experienced this, but at the same time you have probably been in very trying situations like this before. I know from pictures your son is not small and not lacking muscle power, so I can imagine if he doesn't want to remain still, only a few people could restrain him if necessary.
This whole process sounds like it could be much better, and geez, even the doctor and nurse arguing......🤦♂️
It is very stressful to encounter such situations. I wish that things can improve.