The main usefulness of amplifier power ratings, IMO, is that they can make it possible to determine a reasonable approximation of how much volume (i.e., sound pressure level, or SPL) can be produced by a given amp/speaker combination at a given distance. In doing so they can make it possible to **rule out** candidates for purchase that would not be suitable in that respect, relative to the particular listener’s preferences.
Here is a calculator which can be used for that purpose:
https://myhometheater.homestead.com/splcalculator.html In using that calculator an attempt should be made to find actual measurements of the sensitivity of the particular speakers, rather than published specifications which are often optimistic by a few db. If Stereophile has reviewed the particular speaker the measurements section of the review will provide a good indication of that.
In using that calculator it should also be kept in mind that speaker sensitivities are most often specified based on an input of 2.83 volts, rather than 1 watt. 2.83 volts into 8 ohms corresponds to 1 watt, but 2.83 volts into 4 ohms corresponds to 2 watts. So in the case of a 4 ohm speaker the response to an input of 1 watt will usually be at least 3 db less than the published specification.
Regarding output current specs for amplifiers, such as 60 amps, 100 amps, or other such outlandishly high figures, those are among the most useless of specs. As explained in the following thread what they usually represent is how much current the amp can supply into a dead short (i.e., zero ohms) for an unspecified tiny fraction of a second. And as indicated by Atmasphere in that thread they might even correspond in many cases to the output of the amplifier’s power supply under such conditions, rather than to the output of the amplifier itself:
https://forum.audiogon.com/discussions/current-limit-onset-definition Atmasphere has also explained in other threads that one reason some very low powered amps may sound more dynamic and powerful than their power ratings would seem to suggest is related to how the distortion they produce varies as a function of output power. In particular, single-ended triode (SET) tube amps, which often have power ratings in the vicinity of 8 watts or even less, can sound much more powerful than that because our hearing mechanisms use certain harmonic distortion components as loudness cues, and the distortion produced by SET amps varies from being vanishingly small at low power levels to being very considerable as their maximum power capability is approached. The result being a subjective perception of greater dynamics and more power than the ratings would suggest.
Generally speaking, though, once candidates that can be determined to be unsuitable matches have been ruled out (such as by determining that the pairing would not be capable of producing acceptably high SPLs) the best way to determine a preference is usually by some combination of listening, trying to determine what kind of amplification the speaker manufacturer prefers, and researching what owners have found to be suitable amplification for the particular speakers.
Regards,
-- Al