I occasionally indulge in loud sessions and it doesn't sound like clipping when the image starts to flatten out
This a common complaint with nearly all speakers targetted at consumers.You might research speakers with pro type drivers such as some Dynaudios - the Tannoys already mentioned,JBL, Meyer and others.
The problem with cheap drivers with small voice coils and long coil in small magnet gap is that with increasing SPL they rapidly lose linearity and compress. This is due to cheap design and the voice coil getting extremely hot. Consumer designs are as good at lower levels but can't respond dynamically when driven really hard - flat or dull is exactly how they sound.