There can definitely be a difference in sound depending on if the 60 Hz line has sharp edges that might get into the audio signal. In my experience, the worst offender is a modified-square-wave inverter. These have sharp edges that you might hear through your system. In the early 1990s when I was still in the pro-audio business, I made a 12 watt sine-wave inverter that powered a microphone preamplifier to be used in Africa to record different tribes. Mainly drum and vocal sounds. A modified Square wave inverter was clearly audible where the sinewave was not.
A REAL good piece of audio gear will IGNORE the AC waveform and turn it into pure DC to operate the audio circuitry.
But that HF noise seems to find its way into the signal chain sometimes.
As for warm sound or subjective audible qualities besides the induced noise, it's the same old audiophile biases I'm afraid.
Our hearing changes not only from day to day but from 5 minutes to 5 minutes a lot of times. Aside from a double blind A/B/X test, it is hard to tell what is really an audible difference. If your test comes out to be 50/50 % right, then you are just guessing.
I spent almost 20 years specifically in the audio design business, both pro audio and recording studio/live sound (+medical). Noise and audio quality was very important. I heard differences I thought were real but were just my (and others) opinions. Like, absolute polarity difference. For days I thought for sure it was something I could tell the difference of.
Noise from the AC line might be audible though. The soft clipping of the grid voltage is most likely not audible.
BTW, I mainly use Mackie HR-824 power studio monitors for almost everything. They used to be built up here in the pacific northwest.
boB