I don't see how any driver cone is exempt from the physics that determine how fast they can go silent after playing a tone.
If you start or stop a sine wave, the transition means your waveform will have spectral contents extending to frequencies higher than the fundamental. The more abrupt the transition, the stronger the higher frequency contents.
For example, here is the spectral analysis of the above single period sine wave burst (normalized to the sampling frequency used in this simulation). In a multiway speaker, the high frequency (i.e. the "fast") components are handled by the mid-range driver and tweeter, and the woofer only have to reproduce the "slow" low frequency components.
Here is the signal separated into its low and high frequency components. (The filters used here are linear phase FIR filters to preserve the phase relationships.) The low frequency part is reproduced by the woofer, and the high frequency part is reproduced by the mid-range/tweeter. Together they sum back to the original (source) signal. You can see that the woofer doesn't need to be "fast". The "fast" parts of the signal with the abrupt transitions are taken over by the high frequency drivers which are "faster".
This is the spectrum plots of the original signal and the low pass filtered and high pass filtered components to show the spectral compositions of the low pass filtered and high pass filtered signals.
Therefore, the woofer still doesn't need to be "fast", and no law of physics is violated.