It might be that your amplifier is reacting to the capacitive load in ways that significantly alter the response as the volume goes up.
One quick method of determining this is to put a 1 Ohm 60w rated resistor (it will be a big one) on the hot lead from the amp to speaker. That added resistance usually helps amps deal better with the reactive load of the ESL.
Anything between 50 and 100w rating is fine, so something like this works: uxcell 2 Pcs 100W 1 Ohm Screw Tap Mounted Aluminum Housed Wirewound Resistors: Single Resistors: Amazon.com: Industrial & Scientific
BTW- this is the entirety of the secret behind the Sunfire voltage vs. current source outputs, the current source has a 1 Ohm load inside the amp, right on the terminals (discussed in great detail here).
Or borrow an amp that is well-known for playing well with ESLs (see our amp thread) and try that.
One quick method of determining this is to put a 1 Ohm 60w rated resistor (it will be a big one) on the hot lead from the amp to speaker. That added resistance usually helps amps deal better with the reactive load of the ESL.
Anything between 50 and 100w rating is fine, so something like this works: uxcell 2 Pcs 100W 1 Ohm Screw Tap Mounted Aluminum Housed Wirewound Resistors: Single Resistors: Amazon.com: Industrial & Scientific
BTW- this is the entirety of the secret behind the Sunfire voltage vs. current source outputs, the current source has a 1 Ohm load inside the amp, right on the terminals (discussed in great detail here).
Or borrow an amp that is well-known for playing well with ESLs (see our amp thread) and try that.