The advantage ESLs have over other kinds of speakers is the fact that the Modus Operandi of operation is powered. In a conventional speaker the voice coil moves when current is put through it in response to the magnetic field that is present. That magnetic field sags a bit when this happens,resulting in compression. In addition the voice heats up slightly with power, resulting in something called thermal compression.
ESLs don't have this problem so are one of the more dynamic speaker technologies out there. The real issue is driving them because they don't adhere to the Voltage rules which most speakers do. In that rule where the speaker is 'Voltage driven', its expected that the amp can behave as a Voltage source, which is to say it can put out the same Voltage regardless of the speaker load impedance.
ESLs have an impedance curve isn't based on a driver in a box. So there's no box resonance although there typically is an impedance peak in the bass region like many box speakers. But unlike box speakers they need to have power in that peak; in a box speaker this impedance peak is a resonance (a region of higher efficiency) so you want to throttle back the power so as to not play too much bass. If the amp behaves as a Voltage source then this happens.
So ESLs work better with amps that do not behave as a Voltage source. That's one of the reasons they can often work better with tubes. But ideally the tube amp should make constant power with respect to load and to do that the amp has to be either zero feedback or have equal amounts of Voltage and current feedback (which is rare; I don't think any such amps are in production today).
Obviously this makes finding the ideal amp for an ESL a bit tricky. But once you have the right combination they can be pretty hard to beat at any price.