jeez, I thought this had been fully debunked
from 1978 (High Fidelity magazine), article by Mark Davis, AES Silver medalist for technology and product achievements at dbx and Dolby, an MIT PhD in EE/psychoacoustics:
// ... a transient is a signal that happens fast, but only once. Generally observed on oscilloscopes and sometimes photographed, transients are usually supposed to look "clean," without any visible ringing or overshoot. By now it should be clear that we are concerned not with how a waveform or response looks on a scope, but only with how it sounds. Like any other signal, a transient is a collection of frequencies. In order to preserve the sound quality of a transient, the speaker should have a flat frequency response and less than 2 milliseconds of phase shift. Since the latter requirement is easily met, it follows that transient response will depend primarily on the flatness of the frequency response. Looked at another way, a transient's deficiencies of sound must be the manifestation of a departure from flat frequency response. Therefore, if one measures frequency response, the measurement of transient response is essentially superfluous.
I was just reading REL sub website guff about driver 'speed'. Wow. Audio mental feebleness is on the march again.