One of the best explanations on the power of FEELING.
The image you have used of Leonardo is actually right on.
Also I think when we tune into the feeling of the other person it's the same like what happens with a tuning fork. Things start to harmonize and amplify. This benefits both.
Haha amazing methaphore, but their is some truth in that. Because our brains send out certain magnetic waves. Whenever we are in a state of rapport with someone. Our brain waves start to synchronize, that's why you can see some people together who almost work as if they are one. They are both on exactly the same state of mind!