As I have pointed out many times in the past, the impedance curve of an ESL is not the same as an efficiency curve.
With many box speakers the two are the same- higher impedances usually representing resonance, usually a driver in a box.
(If one were to apply this idea to an ESL, it is easy to see how one would think that you need lots of current to drive those low impedances. In a nutshell, it does not work that way with ESLs; they simply are not the same technology!)
ESLs are generally not in a box; their impedance curve is a result of a capacitive function unrelated to resonance.
The result is that the speaker generally needs a constant power characteristic out of the amp rather than a constant voltage characteristic in order to obtain flat frequency response. Constant voltage is that quality that allows an amplifier to double power as impedance is halved (and will generally result in brightness in ESLs). Constant power is that quality where power remains constant regardless of impedance.
There is more at this link:
http://www.atma-sphere.com/Resources/Paradigms_in_Amplifier_Design.phpWhile the Power Paradigm pretty well went the way decades ago in mid- and lo-fi situations, it is still very much alive and well in high end. Horns, ESLs, magnetic planars, single-driver full range speakers and various conventional box speakers represent examples of speakers made to conform to Power Paradigm rules.