In fact...

Take this scenerio. You have a 1000 watt amp powering a 1000 watt woofer. The woofer is NOT getting 1000 watts of power for every single note that it plays. When your volume is close to ZERO, the amp is NOT feeding the woofer 1000 watts. So if sending too little wattage blows a sub, our subs will all blow when we turn the volume down.