Update:
The extension cords arrived yesterday along with the Kill-A-Watt meter.
I plugged the extension cords into two separate 20 amp circuits in my kitchen. Sound was drastically different. Much fuller, darker. Midrange had more weight. Female voices sounded full-bodied etc. Background wasn't very 'black', it was sort of muddy and bass wasn't very textured but overall on the right track.
Of course everytime I've installed new power cords (or even outlets) I get somewhat similar results (overly thick & muddy) until some break-in happens, so the real question was "am I hearing the results of more power, brand new 50' extension cords, or both?"
I left the amps on overnight and this morning listened again. Better, much more engaging even though I wouldn't call the sound quality great (still muddy) and I'm not sure I'm getting the dynamics I should be (but I'm not sure). So with a lot of trepidation, I did the real test - unplugged the extensions from the kitchen outlets and plugged them into the outlets in my listening room supplied by the transformer, praying that I wouldn't hear the same thing. Immediately the sound was thinner in the midrange. Yay.
The quality of the sound is still better through the transformer - i.e. backgrounds more black, so my takeaways are:
1) the transformer does clean up the sound
2) the transformer changes the tonal balance (I assume it's because it's underpowered but I have no experience with one that isn't underpowered)
3) installing two dedicated 20 amp circuits will most likely result in proper tonal balance, but I may not have the cleanliness that I want. Maybe the Shunyata products will help here (previously the Triton didn't make any difference and the Typhon was a mixed bag).
I did try the Kill-A-Watt meter but I couldn't get it to tell me anything other than voltage (I haven't had a chance to read the instructions yet to see if there's a way I can see amperage). It read 123 volts with one amp on and 119 with both on.
Thanks again for the guidance.