LCD-4 like most planar is a much simpler purely resistive load and are much easier to control when compared to dynamic headphones as LCD-4s impedance is not dependent on frequency.
I listen at low-moderate levels. I have used my LCD-4s with a variety of DACs/Amps (ordered by my preference of their amp sections driving LCD-4): Mojo < ifi iDSD Micro < (Deckard, Oppo HA-1) < (SPL Phonoitor 2, Bryston BHA-1) < GS-X Mk2 when using Mojo as a DAC. When using Hugo-TT, I slightly prefered GS-X- Mk2 over amp out of TT and with DAVE, I preferred not using any amp, due to loss of transparency (These are my personal preferences, please do not treat it as an official recommendation by Audeze). This said I would be happy with Mojo->iDSD as a temporary setup or if I had to travel with LCD-4.
All the amps I listened above were able to drive the LCD-4s comfortably to my normal listening levels (in a quite room at night) and did not have any clipping or audible distortions, yet they do not sound the same in terms of transparency, clarity, soundstage, depth, bass impact, add your favorite word here and I clearly had a preference. I did not try to look up the spec sheet to try and explain the difference. But it is easier to explain sonic differences than to explain the reason for the difference.
My 2cs on specs: It may not always be needing 'moour power'. Instead, more to do with how clean and truthful the power delivered is at the levels that are needed by the headphone and to some extent required by the nature of source material being played.
The problem of going purely based on specs is it does not always tell the full story. THD and noise measurements are averaged quantities, they rarely give us an idea of what the maximum instantaneous errors are. If you took a small but sharp peak riding a larger signal and run it through a FFT, it is going to appear smothered over a wide range of frequencies to a point where we may not even see it. We do not live in an 'averaged' world that does windowing and spectral analysis, our ears have incredible dynamic range and are quite good at picking up subtle changes that gives us directional and depth cues in real-time, we may hear differences that would be hard to explain through measurements.