This thread seems to be opening up a whole new can of worms I'd never thought about, with respect to if, when, and where to use EQ in the signal chain.
Suppose you have a square wave (low-passed to avoid aliasing but not phase shifted at all).
The rising and falling edges have a tremendous slew rate because those edges are still nearly vertical. (For other noobs, "slew rate" is how fast the voltage can change. For a true square wave, the voltage changes from high to low or low to high instantaneously, but real amplifiers don't do that; the voltage changes with some maximum slope.)
Now suppose you've EQ'd it and the important frequencies aren't in phase anymore, so you don't have those big nearly vertical bits. The slew rate limit of the amp may not matter anymore, because the slope is never anything it can't handle. Or if does matter, it matters over much smaller ranges.
I went looking for illustrations of this and found the attached pictures, of a square wave filtered down to just three (odd) partials, and the same waveform with those partials shifted 30 degrees (but different absolute amounts dependent on frequency). In the latter picture you still get a darned steep rising bit, but not quite as steep or rising as far, and less steep falling bits, given the now-asymmrical waveform.
If you're counting on a slew rate limited head amp or preamp to shape your sound, it seems like it COULD matter what EQ you put ahead of that amp.
OTOH it seems that the natural phase shifts you get from e.g., the mass of a mic diaphragm resisting small fast changes will have similar effects to doing it with EQ, if I understand Ricardo correctly, so using a mic with limited HF response and using EQ to deemphasize HF may have similar effects on the waveform.
Credit where it's due: here's where I stole the pictures from.
https://www.edn.com/for-signal-distortion-phase-matters/
Hmm... that makes me wonder what would happen if I played my electric guitar through an amp where I could control the slew rate limit independently of the usual kind of harmonic distortion. What does pure slew-rate-limited distortion sound like?