Earlier quoted context omitted.
“Jotting down some code on a whiteboard” with a colleague is a much lower stress scenario than deriving and writing down, under a time limit, some DP algorithm you might not have used since college, and proving its correctness and run time to some stranger who may be barely out of college themselves.
Interviews are necessarily more stressful than typical work. That's not just a property of whiteboard coding.
My sister, a pediatric ER nurse would disagree with you. The interviews are largely behavioral and are a breeze. No dummy is wheeled in with head trauma, random "new" diseases aren't invented and asked to be treated, etc. The simple fact of the matter is if hospitals hired in the same way, they would have no staff.