From the perspectives of control systems and signal processing: Impulse/step response tells you the rise time, settling time, damping and natural frequency of a system

From the perspective of just headphones: not much

I wonder what other peoples think when you pull out this bad boy. And also, since whey did they start to offer wall power on planes?

Fun fact: BA drivers can be of arbitrary impedance, even something like 20KΩ is possible, as this saves power for application in hearing aids