I will also add to what
@Hyperion explained so well. With one channel driven, there is less of a load on the power supply so it can be measured at a bit higher output power level. When both channels are driven, the power supply is strained more thus unable to produce enough
clean power to run both channels simultaneously at the same power level as a single channel. It's akin to your car going from 0 to 100MPH in 12.3 seconds with just you in it. But takes 13.4 seconds with a passenger the same weight as you. The engine (power supply) is strained a little more.
Using 1KHz as a "standard" of measure is a good "all around" and "fair" method to compare power output vs distortion.
The 20 - 20KHz notation is doing a full sweep of frequencies (human hearing range) and still meeting the published distortion specifications throughout the power band. Most, if not all amplifiers will put out more power, but the distortion also usually gets higher and beyond the specs published. And as Hyperion also stated, some very well built/designed amps can deliver well beyond the published specs, especially when rebuilt with modern, higher quality components than what were not available back then. So whenever you see the published specs, they are the minimum you can expect from a brand new, off the shelf unit.
Also, WPC output is merely a voltage measurement. It does not equate to decibel levels of sound pressure. That is a function of your speakers to convert that voltage into vibrations. The higher the efficiency of the speakers, the "louder" the sound level.