Didn't you hear me talk about peak sound level and average sound level? The peak level can be 10 times more than the average level. Peaks occur only for short durations (except acid rock blasts all the time).
Some music has "the beat" the loudest. Do you want the police light to blink with the beat of the music?
If you are making this circuit to detect when the sound level is loud enough to cause hearing damage then you need to detect the average level, not the momentary peak level, but of course extremely loud momentary peak sounds (thunder from nearby lightning) can also cause hearing damage or if you have a loud speaker very close to your ears.