Streakster -
I find a correlation between high efficiency and low-volume liveliness in conventional speakers, and a correlation between transformer quality and low-volume liveliness with electrostatics (although a very thin diaphragm also seems to help). In general, I find electrostats to have more liveliness and inner detail at low volume levels than conventional speakers. The most lively speakers at low volume levels I've heard are full-range electrostats and full-range horns.
Compression is largely a function of voice coil heating with conventional speakers, so a high effiency speaker that undergoes little voice coil heating will compress less. Sometimes in a multi-way speaker the various drivers will have differing efficiencies, and therefore differing compression characteristics. In such a case, the speaker will sound "right" at a particular volume level, but will sound tonally unbalanced at higher or lower volume levels.
Transformer losses are the primary cause of compression in an electrostat, with transformer saturation resulting in severe compression.
To see a set of Fletcher-Munson curves, go to this address:
http://hyperphysics.phy-astr.gsu.edu/hbase/sound/eqloud.html#c1
Steakster, I don't quite understand your question, so I probably haven't answered it. Is it the imaging that collapses at lower volume levels, or the clarity (transparency)? What speakers do you have?