Torque Density Impacts Robot Speed

Humans know intuitively or from experience that if we put weights on our wrists or elbows, it becomes more difficult to move our arms.  If we apply the same force we used without any weights, our arm will move more slowly.

It’s no surprise, then, that we see the same result in robots:  as joints get heavier, the arm moves more slowly when the same force (or torque) is applied.  Conversely, removing weight from the wrist or elbow actuator using a lighter weight transmission/gear drive results in higher speeds for the same applied torque.
What does a 10-15% increase in robot speed imply for robot owners?