Hello,
I'm John Fallows and I work at Salk Sound. Proud to say that too. At work, I get to work on some of the best speakers around. OK, call me biased if you want

Our crew is without question, the most talented group I've ever worked with. Don't call me biased about that or we may have words.

I've read this thread some and I have to admit that the capacitor stuff eludes me for the most part.
But the driver break in part I find very interesting. I've been thinking about it a lot.
At the shop, when I'm not washing bottles, I get to assemble speakers, a hell of a lot of speakers.
I handle drivers every day. That by no means elevates me to the level of expertise in this crowd, but I have drivers in my hands every day and have examined many different ones many, many times.
So here goes.
On some new drivers, when I carefully move the cone through some of it's travel, I can hear what sounds to me like a slight cracking sounds coming from the area of the spider. Has anyone else noticed this?
This causes me to think that something is happening in the spider. Break in is wording that seems to cause great excitement in these here parts so I'll say softening. Does that fit here?
It sounds to me a reasonable assumption that the spider must be getting softer and more pliable.
I'll say that this phenomena must be occurring while the driver is doing it's business inside the cabinet. Haven't the foggiest about how long it goes on. Can it be measured? Does it make an audible difference? I couldn't tell you.
And the time domain thing has me wondering too.
So lets just say that the spider gets softer after some period of use. Our amplifier, while playing music, is constantly commanding the voice coil to find a certain position along it's travel. As the spider gets softer the voice coil, seeing less resistance from the spider is able to find it's position faster. Return from that position faster too. So could be the waterfall plot looks better. Impulse?
I must admit that all of this could be sort of sub-atomic, but isn't that why we have the Hadron Collider?
Hey, but the length of this post isn't so sub-atomic, sorry.
John