Part of the problem is that you're only inquiring about a very small part of the room's sound signature: the frequency response. A "flat" response might not be precisely what anyone is technically after. However, rooms have
many other issues than just having a varying frequency response. In fact the largest issue in most rooms is not frequency response, but the decay of the sound. Room modes are particular notes that, due to your room dimensions, are louder in SPL but
also create a standing wave, a resonance that will actually ring out for much longer than the sound is played by your speakers. So 300ms after the original sound is played through your speakers, some notes are still ringing out. This means that everything else is easily masked by the resonances. Of course, this is true of any type of reverberation as well.
Not every correction just applies to turning the sound "down" or "up" in the room either. Bass traps, for example, do not 'turn down' bass. They create an environment that standing waves and other acoustic interferences can't survive and promulgate in, so that the sounds you hear in the room are ones
only coming from your speakers.
This article might help explain the importance of examining the time domain in the room:
Understanding Decay Time and Waterfall Graphs - GIK Acoustics