My theory is that the very high damping factors unique to class D amps was truncating the decay times of the bass notes.IMO it is possible to overdamp loudspeakers and thus truncate the bass notes, ending up with a coloration called 'tight bass'.
In this regard, amps have outstripped loudspeakers in terms of advancing the art. What I mean by this is for an amplifier to be a true voltage source, it has to have a very low output impedance, and while most speakers (certainly not all!) are meant to be driven by a voltage source amplifier, the simple fact is that they also should not be overdamped, and most high powered solid state amps do just that. No speaker made needs more than about 20:1 as a damping factor. But we see amps that have 500:1 and more- there is no way these amps can avoid coloring the bass as a result.
IOW I agree with your observations.