Both loudnes and volume are perceptual terms correlated with acoustic level. The knob you twirl is a level adjuster.
Not all amps have the same gain. For example, McIntosh, IIRC, rated their MC 60 at 60 watts RMS 20- 20 kHz with a .5 volt input, whereas the Dynaco 60 watt amp required a 1.5 volt imput to reach that level, so its gain was much lower. (I think the days of the MC 60 were before the JASA style sheet required capping the H in hz for Hertz or the B in db for Bell.) Two other things to look for in amp specs is power bandwidth and distortion rating. Those two numbers can make two different 200 watt amps quite different.
As to the OP, for most practical levels and with equal quality amps, there shouldn't be a difference in SPL whether the amp is 200 or 300 watts, unless the speaker represents a very difficult load.
db
Not all amps have the same gain. For example, McIntosh, IIRC, rated their MC 60 at 60 watts RMS 20- 20 kHz with a .5 volt input, whereas the Dynaco 60 watt amp required a 1.5 volt imput to reach that level, so its gain was much lower. (I think the days of the MC 60 were before the JASA style sheet required capping the H in hz for Hertz or the B in db for Bell.) Two other things to look for in amp specs is power bandwidth and distortion rating. Those two numbers can make two different 200 watt amps quite different.
As to the OP, for most practical levels and with equal quality amps, there shouldn't be a difference in SPL whether the amp is 200 or 300 watts, unless the speaker represents a very difficult load.
db