The Illuminator's are ±0.5db up to 1khz and ±1db from 100hz to 2khz with great HD and very linear inductance.* Any edginess you've heard came from a speaker crossed far too high. AFAIC, the Illuminators are the (midwoofer) drivers to beat right now.
*18WU/4741T-00
I've personally heard the Illuminator in the Salk Silk and I was incredibly impressed with the performance of that speaker.
As for the Illuminators being faster or slower, I'm not sure what that means...
The drivers can move frequently enough to produce, say, 3000hz, and thus fast enough (S=D/T) to do so at db level X, but if the drivers have the exact same radiating area, are placed in the same location, and played at the same SPL they will move the same speed. The magnetic field strength (BL) necessary to move them at this speed (read SPL) might be different but that's not really relevant. Even if it was, the Illuminator has a much more linear BL anyway...
For the sake of complete accuracy, the two drivers being discussed do not have the same radiating area, and thus one will travel faster. Let's see how much. Both drivers are in a sealed box with a QTC of 0.703.
At 50.03hz the Illuminator is playing at 104.309db and the Audio Tech is playing at 104.308db. The illuminator is subjected to 200 watts of power and the Audio Tech is subjected to 464 watts of power.
At this SPL the Illuminator is moving at 1.80483583 mph
At this SPL the Audio Tech is moving at 2.04186952 mph
This is 806.83381mm/s and 912.79735mm/s respectively.
The Audio Tech drive unit
is moving a little faster to compensate for the smaller SD. It's also moving farther through a non-linear motor than the Illuminator is moving through a very linear motor, and is soaking up 2.32 time the amount of power doing it.**
**This simulation was done at an SPL neither of these drivers were meant to play in a sealed box at 50hz. The xmax for each driver is 16.127mm and 18.245mm at 50.03hz- the Illuminator being the former.
The group delay at 50.03hz for the Illuminator and Audio Tech driver are:
Illuminator
3.958ms
Audio Technology
3.015ms
That is a very, very small amount of delay. In the case of the Illuminator that is ~1/5th of a 50.03hz wavelength and even less for the Audio Tech driver. The rule of thumb is less than 2 wavelengths for any frequency being played. Again, the Illuminator signal hangs on for 1/5th of one wavelength. If you can hear 3 vs 4ms of group delay at 50.03hz, you should add speaker ports to the list of technologies the industry should do away with.
With this in mind, I amend my statement. You did not make a scientifically inaccurate statement and I apologize for accusing you of having done this. However, the validity of your claim that one of the drivers has more detail because it is a tad faster is clearly rubbish. The Illuminator is far more linear than the Audio Tech, soaks up less power (less VC heating, less impedance increase, less power compression, etc.) and they are both well behaved in respect to group delay in the "ideal" sealed enclosure for each. This leads me to believe the specific speakers you heard or the room was at fault for the "slow" sound of the Illuminator and not the design of the driver itself.
Also for the sake of complete accuracy, you claimed one driver sounded "faster" in the midrange not the bass. Since these are 7" drivers, I wouldn't use them even close to 3khz. I'm sure you agree. If you would like, I will use a smaller Audio Tech driver and compare the group delay to an Illuminator of similar size at a higher frequency. I don't want to just go ahead and do it because I'm unsure of which Audio Tech driver you heard and it would be most accurate to run simulations with that specific driver. I would very much like to run that simulation as you could be correct. My goal is to discover the truth, not prove you wrong.

I would guess whichever driver has more surface area will have increased group delay at higher frequencies. I don't think the simulated delay will be significant, but perhaps it will be.
To your point, the Audio Tech driver is far better behaved at 3khz and would pair much better with a tweeter in a CD waveguide than the Illuminator. To my point, the linear xmax is quite low, so it wouldn't do too well in the low end of the spectrum when paired with a CD waveguide.