more power means to drive the speakers with less stress or effort, thus providing more sound goodness.
Ray Bronk
I would have expressed it slightly differently. One's power requirement is driven by 2 factors:
1. How much RMS power you need to drive the speakers to the dB level you listen at.
2. How much headroom
you believe is required, to faithfully deliver the leading edge of transients.
Re. 1: Obviously, if you have very inefficient speakers, this will be many times what, say, horns require.

So we could be talking about (RMS) 50 watts instead of 2 watts.

Re. 2: Some people proclaim that all you need to allow for is 6dB headroom ... however, I read somewhere that to faithfully reproduce the sound of someone tearing a piece of paper takes 1,000w!
This issue is complicated by the fact that it's the
instantaneous power delivery which is the crucial factor - not the RMS rating. Obviously, a 100w amp which is only being run at 2w (at the required listening level) because the speakers are very efficient, will have plenty of headroom ... but so will a 50w amp whose PS has been configured to deliver 500w over 1/10th of a second.

Regards,
Andy