Interesting option, I'll try putting a high pass filter on to see what effect that has. I'm using Yamaha HS7 monitors and Yamaha says this about the frequency range
43Hz - 30kHz (-10dB), 55Hz - 24kHz (-3dB) frequency response
Without measuring to find out for sure, the issue with my living room is that it's square and bass frequencies vanish in the middle and are only present in the corners.
So I guess I'm wondering whether investment in a good pair of open back headphones or Sonarworks would be best as there's no space for bass traps.