The max current spec is instantaneous allowed by the storage capacitors, transformers and various resistance elements. Such a high maximum will maintain integrity of the early onset transient of the signal. Where phase angle comes to play is that such a clean onset transient would be rounded-suppressed-scrambled by a phase incorrect transducer. With phase integrity the system has the potential to replicate such an onset transient.
A robust speaker can handle along the lines of 100 watts music power and more like 10 watts continuous. So, this high power delivery is strictly in the realm of transients.
To that realm, the improvements brought by audio resistors, ultra capacitors and high purity coils and wire are also in the realm of transient fidelity. A speaker with schlock stuff will measure the same as with great stuff with a steady-state input signal.
