Even with my Dual Concentric Tannoy Berkeley’s where the pepperpot tweeter is located back into the mouth of the horn loaded 15 inch drivers the bass does sometimes seem to be slightly lagging behind the rest of the sound.
However, this may be due to cabinet resonance issues rather that drive unit alignment time differences.
Thankfully the Berkeley’s are said to crossover at 1kHz and thus everything above that should be aligned.
When it comes to low bass (sub 40 Hz) very few systems can match a good subwoofer for either clarity or power.
It can also be problematic to describe bass as either fast or slow but there’s no doubt that some systems can display superior attack and decay of bass notes than others.
And then there are those that don’t bother at all. In fact I’d guess that the bass response of the majority of loudspeakers starts to rapidly fall off the frequency response cliff below 50Hz.
In those instances, time alignment should hardly be an issue.