The power recommendation is for MAXIMUM safe power.Yes, but it is maximum average power, not maximum peak power.
Average power is equivalent to dissipated heat.
Pavg = Vrms*Irms Peak power for sinewave is twice larger than average power. RMS of power would be about 20% higher than average for sinewave, but it doesn't represent anything useful. It is incorrect term. Just stating power in watts means it is average.
300W will be about 12% louder than 200W