Cardiac arrest! Virus invasion! Something with brains! We never see a medical emergency where the EMH needs to act fast and so does what only he can do, lightning fast blurred hands doing amazing lifesaving stuff. The only ways the EMH does things non-human with his body are when he can exist without oxygen. He never runs super fast or stretches his arms out ten feet or uses super human strength (does he??). It seems he can change his programming to learn opera but not to move past physical human parameters. This is like how no one put a lighter in Data. Or a light. Or anything useful. Data's eyes should turn into search lights in the dark!