The output power rating are given with different standards. Some us 1% THT, some use 10 %THD and others (PMPO) don't care about THD at all.
For the full amplifier circuit there is than also the effect of cooling and the size of the filter capacitors, which causes the different ratings for sine and music (peak power).
So there are different defintions for rated power and thus usually different numbers for a single amplifier.
The actual output power level depends on the signal / music and the set volume. Depending on the power the THD will change. So for every supply voltage there would be a THD vs power curve - usually this is also found in the datasheet for some common supply case.
With music the actuall power is usually much lower most of the time and only some peaks may actually need significant power. So even the 10%THD power rating makes sense as this would be only for short bursts, were distortion would actually happen.