Efficiency of speakers?

I have the most dismally sensitive speakers around. I have never heard anything faster.

What do you mean "faster?"

Quicker transient response Pawlowski.

Meaning the driver can push and recover quicker, and without fatigue. More deep level signal can be heard that way.

There is not a direct connection between speaker sensitivity and transient response. That said, some speakers acheive high sensitivity by using massive magnet structures coupled with very light weight cones which should make them very quick sounding drivers. But again there is no direct connection the way you're implying.