So if an amp i choose has more gain, that could be a benefit for the volume issues I have spoken about before.It would lower the setting of the volume control that you would use to achieve a given volume level, everything else being equal.
And if the amp also has more wattage, it can control the speaker better ...?Not necessarily. That depends on several different characteristics of both the amp and the speaker, including amplifier damping factor and output impedance, how much damping is optimal for the particular speaker, how the speaker's impedance varies over the frequency range, the robustness of the amp's power supply, etc. The bottom line is that it's hard to predict.
And if the amp also has more wattage, it can ... perhaps provide a better sound with high dynamic range music?Stereophile measured the sensitivity of the Sophia 2 as being 88.3 db/2.83 volts/1 meter. For its 4 ohm nominal impedance that corresponds to 85.3 db/1 watt/1 meter. Neglecting room effects an amplifier capable of providing 100 watts into 4 ohms should be capable of driving a pair of speakers having that efficiency to a maximum SPL of about 99 db at a typical listening distance of around 10 feet. That will be adequate for the great majority of recordings for the great majority of listeners.
I for one happen to be among those for whom that kind of maximum volume capability would be inadequate, though. I have a lot of classical symphonic recordings on audiophile-oriented labels such as Telarc, Reference Recordings, Sheffield Labs, etc., that have been subjected to minimal or no compression, and can reach 100 to 105 db at my listening position, on brief dynamic peaks, while being listened to at average levels of perhaps 75 db.
Would the increase of wattage of the amplifier allow me to hear the music better at lower volumes as well?Again, it's hard to predict, and from a subjective standpoint it may depend on how the distortion characteristics of the particular amplifier vary as a function of the amount of power it is putting out.
All I can add at this point is that if you already haven't it may be worthwhile to research the Audiogon Virtual Systems to see what amps others have used with the Sophias.
One final point: As with many ARC line stages and preamps, ARC recommends 20K as the **minimum** load impedance that should be presented to the LS25. Keep that in mind in considering other amplifiers.
Best regards,
-- Al