I am 100% certain the impedance of planars will remain perfectly linear (not so with most dynamics at higher SPL) so if I were you I would not place a bet on that one.
The impedance of both of these planars is resistive in the audible range regardless of the applied voltage.
When the voice coils start to glow red and the membrane melts (many Watts continuous) the impedance might vary ...
"When this happens and you turn up the volume beyond that point (depending on how 'hard' the clipping is) the loudness (volume) of the sound will still increase and bass levels will 'suffer' first as they have the largest voltage swing. The sound will turn 'nastier' but the volume of the sound keeps increasing but NOT the bass. That is clipped so stays 'behind'.
In these cases using an amplifier that has a higher voltage and or current limit moves the voltage clipping point upwards and so the clipping occurs at higher listening levels.
At some point, where peak SPL of 120dB is reached, the sound is so loud you won't go there simply because it is unpleasant for longer periods.
You can listen to 120dB SPL peaks for about a minute and this is impressively loud and because of equal loudness contours has tremendous bass power (makes Amirs earlobes shake). But you won't be doing that for long.
This means that when the amp chosen for driving your headphone can deliver the needed voltage (= drawn power, not delivered power) without clipping and the amplifier has enough gain and the music source has enough output voltage then having more available power is pointless.
Yes, having 3dB more headroom is desirable but not needed for normal listening levels.
When amplifiers (even a dongle has an amplifier inside) clips at SPL levels of say 90dB SPL in a specific headphone then it will sound as if it struggles with the bass. And it does. It clips the bass as that has the highest amplitude.
90dB SPL for bass is NOT loud at all. 90dB of bass is about 30dB above the hearing threshold.
60dB SPL of bass makes the fundamental of that bass inaudible already while the rest of the music is at a enjoyable soft background level.
90dBA is loud and for bass fundamentals to reach that level the actual SPL = 120dB !!
So in short... when you want to use your headphone at all kinds of levels it needs to reach voltage levels that can make it produce 120 to 123dB SPL. You don't need as much if you never play loud. Around 110dB is good for comfortable loud and 100dB ensures normal listening levels never clip.
That said.. efficiency levels are often given at 1kHz or 500Hz. Looking at the frequency response of headphones you will find most of them roll-off and some 'boost' in the lows. This too has an effect of how bass is perceived. When you have to boost it the voltage limit is reached much, much, much earlier as well.
It is a complicated 'play' between headphones, voltage efficiency and voltage levels that can be reached which determine how impressive bass will be.
It is not costly to make amps that can provide enough to power all but very rare and inefficient headphones.
There you have it. It's all science not magic and the laws of that science cannot be broken.
Audio may seem like magic and things may seem 'inexplicable' but they aren't.
Aside from all these technical things that need to be right, including distortion and frequency response and in lesser sense phase, there are other aspect that also have great impact."
Do you remember writing this? Multiple users report the same thing, "bass goes limp" on the Sundara. I guess the output of the Babyface is so low that that happens at "quiet" levels, your description of the volume getting louder, but bass staying behind also seems accurate to my experience. If instead, you simply switch amps at the same volume, bam, there's all the bass and all the "life" in the sound (other users reported them feeling "lifeless" with weak amps).