Not entirely true. Some subwoofer drivers have built in bump stops like the suspension on pickup trucks. This keeps the driver from ripping out it's wires if it is over driven. You can't miss when this happens. It make a racket!
Other drivers, it usually takes a while to over drive them. The main mode of failure is overheating. This is with clean power. Most drivers are burned out by distortion. Clipping is basically square wave which is +- DC. Everyone is familiar with what happens if you place a wire across the terminals of a battery. That is exactly what happens to the voice coils. But, it takes a little time depending on how bad the distortion is. There is a good argument that says powerful amps are safer.
If all the drivers are working you are OK.
Other drivers, it usually takes a while to over drive them. The main mode of failure is overheating. This is with clean power. Most drivers are burned out by distortion. Clipping is basically square wave which is +- DC. Everyone is familiar with what happens if you place a wire across the terminals of a battery. That is exactly what happens to the voice coils. But, it takes a little time depending on how bad the distortion is. There is a good argument that says powerful amps are safer.
If all the drivers are working you are OK.