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That's great but it doesn't address the issue directly. You can build a low pass that behaves in phase and in that case would not limit performance of audio band with out of audio band tayloring. At that point the internal bandwidth of the amp in relation to it's feedbakc loop becomes the inportant slew factor. You've basically just wrote that every tone control is crap. (oh wait, I may agree with that)
That's not exactly what Ethan's article showed, there was a difference between an RC low pass filter and a slew-limited constant current source. The article didn't mention the actual distortion slew limiting causes, which used to be known as TIM - Transient InterModulation distortion, or SID - Slew-Induced Distortion.
In an RC low pass, while filtering of highs is occurring, the rest of the audio passes untouched except for a bit of phase shift. However, while the amp is slewing and doing so at its maximum rate, it can do nothing else, including pass other audio, so during the slew period the signal that causes the amp to go into slew limiting is modulating everything else in the signal. That's the distortion mechanism. It's a form of intermodulation distortion that occurs under very specific conditions.
The interest in TIM distortion and slew limiting started in the early 1970s with early IC Opamps that were very slow. When those chips found their way into power amp front ends and preamps, the whole TIM thing came to light. With the introduction of IC Opamps that would slew between 7 and 13V/us in the late 1970s and early 1980s, the whole thing pretty much went away. More recent research has shown actual TIM/SID to be very limited in audible detriment, and it has all be played down a lot lately.
What's important is to realize that most (and by most I mean almost all) amps used for audio these days are far faster than required, and won't be pushed into slew limiting by audio signals. The bad combination is high frequency AND high voltage swings combined with slow slew rates. You need all three aspecst to hit slew limiting. Take away one, and you're out of the woods. In the case of headphone amps, we don't have very high voltage swings, and likely have fast amps, so no problem.
Including slew rate figures in published specs has always been rare, mostly because while higher numbers are always impressive, the average spec-reader has no idea that once an amp is fast enough, faster makes no difference at all. In fact, very fast amps come with stability issues, which are much worse than TIM, so in many ways, slower (as long is it's fast enough) is better.
The mechanism for slew rate limiting doesn't occur in transducers.
I recall the NE531V opamp - fast as heck, very hard to design with. Mostly you made it stable by forcing it to slew slower.