Nobody here seems to understand what happens when an amplifier starts to clip.
The term clipping refers to when sine wave gets "clipped" at the top and bottom, since this is not a accurate representation of the original curved sine wave the audible reproduction is "distorted". Because of the nature of a clipped sine wave it can possibly damage the suspention of the speaker but NOT burn the coil.
A secondary thing that happens when an amplifier is driven into clipping is voltage spikes, an amplifier that would normally put out 40 volts at rated power can more then double its output voltage when driven into clipping, this increase is rapid right up to the point where the amp either go into protection or blows its fuses.
This increase in voltage output is the source of the thermal overload.
This also explains why a 20 watt rms amp would not be able to damage a 1000 watts RMS woofer, driven to its absolute death it would not have enough voltage output to thermally damage the coil.
To say that clipping burns voice coils is technically incorrect, the only way to burn a voice coil is to exceed its thermal limits by giving it too much power.
Subwoofers in SPL comps are subjected to extreme and severe clipping on a regular basis and sometimes more then quadruple thier rated power. The subwoofers survive this abuse by simply not being exposed to the excessive power long enough for thermal breakdown.