IMO it is possible to overdamp loudspeakers and thus truncate the bass notesThis statement gives a wrong impression for amplifiers output impedance. That should really be.
There are a small minority of speakers that are "overdamped" by bad design or being purposely overdamped designed, and it's the speaker manufacturer problem to get the "Q" correct. Not because the amp is over-damped or underdamped.
And amps are also supposed to measure as flat as possible regardless of load impedance they see.
From the Speaker design bible
.707 is said to be the correct "Q" with respect to damping. A higher Q indicates a woofer that is underdamped (loose) while a number lower than .707 indicates an overly damped woofer.
There is no such thing as too low for an amps output impedance. They even build speakers with "driver servo control circuits" to control the bass driver excursions even more and faster than the amps can do.
A classic example of trying to corner the amp/speaker market was the Linn/Naim scam of the 80's when a "purposely overdamped speaker" was mated with a "purposely under damped amp", when together they were a match and sounded good.
When either were substituted for something else and there was either, no bass because of being too tight, or too much soft woolly bass.
When a Krell was substituted for the amp, there was very little bass, (what!!! a Krell with no bass!!) that raised the eyebrows.
Needless to say this idea was Linn/Naim was exposed eventually and they did stopped doing it probably through fear of being called cheats, great marketing idea though if you have no conscience.
Cheers George