I've heard systems which subjectively do seem to possess an hard to describe 'driven' character. The sound frequently, though probably inaccurately, just seems to lock into a propulsive groove. This can be an highly satisfying effect with rock, pop, R&B, etc.
The effect appears to be an mid-bass focused phenomena, but is not necessarily an obviously bass prominent sound. In addition, the sound character can feature an coherence, for lack of a better term, across the entire audio spectrum, not just the mid-bass. I suspect there isn't a single metric that quantifies this effect, it likely being due to some confluence of multiple system parameters, maybe including room acoustics.