if you were to be recording gunshots or rocket launches, youd probably want low sensitivity due to the fact that the dB levels will be extremely high. it wont pick up as much of the sound at lower dB, but wont be easy to overload.
But for music, you may want that detail, so the low sensitivity would be my choice. using very sensitive mics for the types of examples above would be a bad idea since they can easily overload.