Is there a measurement or rating in loudspeaker spec. that indicates a given speakers low listening level abilities for different speaker comparisons.
Ottguit
There isn't a simple number that can be included on a spec sheet to describe this, but there is a way to measure and display what you seem to be asking about.
Speakers produce sound straight ahead (on-axis) and at varying angles off-axis. This can be measured with a microphone at the same distance but at several different locations, on-axis and at several different angles off-axis. These measurements can be shown as multiple frequency response curves.
Here is an example for a Dynaudio Confidence C4 speaker
http://www.soundstagenetwork.com/measurements/dynaudio_confidence_c4/
The first graph shows 3 traces measured on-axis and at 15° and 30° off-axis.
The second graph show 3 more traces measured at 45°, 60° and 75° off-axis
Notice how the curve is fairly level, even at higher frequencies, until the microphone is far off-axis. This results in sound that disperses well throughout the room, and sounds much better than a speaker that beams sound in a narrow pattern, especially at low volumes.
This wide dispersion is spoken of as "power response", and contrasts with a speaker's sensitivity rating which is measured at 1 meter away from a speaker,
on-axis, with a 2.83 volt (1 watt if the speaker is 8 ohms) signal. A speaker with good sensitivity on-axis can still sound poor if it's power response is low.