I wonder if handshakes are gone for good. I hope fist-bumps and elbow-bumps never return. We should start practicing bowing in the Japanese tradition.
Good question. I'd say the two methods (handshake vs bowing) are slightly different in their intent:
A bow is typically a greeting and a sign of respect.
A handshake serves to establish a more direct "link" with the person in front of you, and you can also get a first impression about that person based on how they shake your hand (firm but controlled, strong and dominant, weak with the hand soft as a wet noodle, etc...)