OP has a fundamental misconception of what is meant by a flat response. Early posters above tried to point out and correct this but to little avail and now everyone's gone off at tangents. I'll try again.
A musical event is recorded. The frequencies in the event are not flat - i.e. all the same sound intensity, or volume. The objective in recording the event and replaying it on replay systems is to reproduce the event as it happened, i.e. with the loud bits loud and the soft bits soft. The systems that are employed to do this should have a flat response, i.e. every frequency is recorded and replayed at the sound intensity/volume it had in the event. That requires a recording and replay system that is 'flat', i.e. it treats every frequency input the same and does not make it louder or less loud that it was in the event.
Summing up. The system is flat if it records and replays all frequencies as they occurred in the event, not louder or softer. A flat system does not make the sound intensity of all elements of the event the same (as OP seems to apprehend, incorrectly).