I've had an extended conversation about this with an ER nurse friend, in which I reminded her that although the staff go through the gamut all day every day and it's normal for them, the patient (hopefully) does not and whatever procedure(s) are new and scary.

Add in the fact that (sexualized) abuse and med students using anesthetized patients for training without explicit consent is more common in the medical field than any of us would like, and people having concerns strong enough to avoid treatment sounds pretty reasonable to me.

"we see this all the time" may settle a few concerns, but it makes others (such as the power imbalance) worse.