No, “everybody” in healthcare does not know this. I have learned to be skeptical and not to assume any particular level of statistical competence in the healthcare field.
Nurses/healthcare professionals often take the patient's blood pressure and heart rate just as soon as they enter the room after walking and moving about. Wait a few minutes and the measurement changes significantly, giving you a better indication of actual heart rate at rest.
I went in for a checkup and my doctor actually retested me after a few minutes because the first reading was unnaturally high. Hurrying into the office and the general anxiety of being in a hospital certainly raises it by a bit.
I get the sentiment, but let me add one thing. Understanding statistics well is far from "common sense". In general, to operationalize statistics well, one has to both (a) train your mind quite carefully beforehand, and (2) slow down in the moment to make sure your rational thinking modes have traction.