I regularly push to change the vocabulary to more specific descriptions, as with further probing, I've seen many use the "fast/slow" descriptor for a wide range of subjective observations. The most common causes of such observations can be tracked directly to the room's transfer function at the listening position, along with integration issues with the main speakers, and even differences in the ground plane behavior of the subwoofer. More often than not so many audiophile hypotheses stem from likely coincidences with common room transfer functions and measurement blind crossover implementations.
That generally comports to my experience. I think the order is right, too: room modes, integration, and then raw sub performance. For example, a system with this in-situ frequency response (5-point spatial average) sounded "slow" and "incoherent" to me:
(single subwoofer in a front corner)
The dominant factor, I think, was that 60ish Hz spike in the response.
However, a system with this in-situ frequency response (also a 5-point spatial average) sounds "locked-in" and "tight."
(three subwoofers, including the corner sub with response shown above, set up using Geddes' methods, and three low-Q, low-level global parametric EQ cuts.)
But I do think there's one more factor that hasn't been mentioned: driver inductance. In my mostly uncontrolled* subjective experience with subwoofers, I've found a pretty strong correlation between low inductance and preferred sound. Subwoofers with high ratios of Le/Re (and especially high Le/Re and no Faraday shielding in the motor) sound off to me even when the upper bass inductive hump is EQ'ed out. The adjectives that have come into my mind listening to various such subs in various systems at various times include "thick," "plodding," "incoherent," or "hazy." (I am assuming an upper cutoff of something in the 80-150Hz range.)
So, back to Todd, Mark, and anyone else who wishes to chime in, what say you as to the role of inductance in subwoofer subjective sound quality?
*I have attempted one blind, EQ'ed-to-the-best-of-my-ability comparison of bass units in closed boxes, but all of the drivers had low inductance. I failed to reliably distinguish an ultralow-inductance underhung-coil driver (Aurasound NS12-794-4A, ~0.3mH/3.0?), from a low inductance split-opposed coil (Differential Drive) driver (JBL W15GTi, ~0.9mH/3.2?), or a low inductance XBL^2 motor driver (Exodus Audio Maelstrom-X Mk. I, ~0.87mH/3.1?). Levels were limited to what could reasonably be expected of the NS12. Otherwise I'm pretty sure a good 25+ mm xmax 18 would sound better than a good ~20mm xmax 15 or a good ~15mm xmax 12! But those are all what I'd consider elite-level woofers, and all have clean performance to well above a subwoofer's typical passband, so perhaps no difference should have been expected. But I was still surprised.