What differs is how the power is measured. RMS (root mean square) is .707 of the maximum power. An amp output into a nominal load of 8 ohms at 1kHz at RMS continuous is a standard measurement. Ceteras paribas, amps should be compared using a common measurement.RMS value of power is meaningless. What represents heat is average power.
Pavg=Vrms*Irms. Average power for sinewave is equal to half of peak power Pavg=0.5Ppeak. RMS value of power is about 0.6Ppeak and doesn't represent anything usefull.