The power required to achieve a given volume is highy dependent upon speaker sensitivity.
The scenarios in which a "bigger" (more powerful) amp will make one's speakers sound better are:
- Your existing amp is unable to achieve desired loudness without clipping.
Done. That's the only situation in which a more powerful amp will improve sound quality.
Unused power - that is, power beyond the amount necessary to achieve desired loudness without clipping - provides no sonic benefit. Indeed, how could it, since by definition it is unused.
This is not to say that having more power than required is of no value. It provides flexibility if/when you want to go louder or use less sensitive speakers.
On a related note, if an amp is unable to deliver the
current demanded by a difficult load, amplification will become less linear at affected frequencies, and sound quality will suffer. However, this does not necessarily translate into needing an amp with a higher
power rating.
There are plenty of amps with high power ratings but unable to deliver the current demanded by lower impedance loads, and there are great amps with relatively low power ratings but able to deliver demanded current into very low impedances.
On another related note, it seems to me that the phrase "power hungry" is used to describe two different things:
- Speakers which are of low sensitivity, or
- Speakers which only sound good at higher volumes
Finally, keep in mind that better recordings will have peaks of 12-15dB, or even higher. To avoid clipping (or at least keep it to a minimum), your amp needs to be able to deliver exponentially more power for these peaks than is being used on a continuous/RMS basis. For example:
- 9dB peaks = 8x
- 12dB peaks = 16x
- 15dB peaks = 32x