I did own the Lii Audio F15s OB for a short bit. That may be the amp out of phase as Atmosphere mentioned. It could also be due to wide frequency response dips and peaks, with missing treble off axis. The person I bought them from was using Mini DSP to correct for Baffle Step (rising response) and also to boost the bass to compensate for bass cancellation from front and back wave.....I could never get them to sound as good without DSP and I am generally an anti-DSP person otherwise.
If you buy a USB measurement mic and use REW measurement software (free) you can see exactly what is going on with the response. IMO a great $100 investment.