I contacted Monoprice this morning and have set up another RMA. By the time the third unit arrives I will be past my 30 day return window but I decided to roll the dice anyways. If the issue persists I will expect Monoprice to make it right, return window be damned.
Dylan has been completely fair and helpful in his feedback. If anything I think I was the first one to suggest this might be a systemic issue, although I referred to it as a "design flaw".
If I was on the other side of this, I would agree with
@GXAlan that the most likely explanation would be operator error. My hope that by testing with only power and a single speaker I have eliminated any possibility of that. For the curious here was my testing methodology.
1) Connected amp to power ONLY
2) Connected left Klipschorn to Channel 1
3) Turned on amp
Result: No Hum
4) Moved left K-Horn to Channel 2
Result: Hum
5) Tested remaining channels by moving left K-Horn between terminals
Result: Hum in Channels 2, 4, 6, 8
6) Repeated test with right K-Horn, to eliminate issue with speaker wire or specific speaker
Result: Hum in Channels 2, 4, 6, 8
7) Repeated test with modern, less sensitive Klipsch surround, RP-240S.
Result: Hum in Channels 2, 4, 6, 8 (audible from the floor in front of my equipment and this speaker is hung at the ceiling line)
8) Repeated test with surround back, a Klipsch bookshelf, RP-150M
Result: Hum in Channels 2, 4, 6, 8 (audible from the floor in front of my equipment and this speaker is hung at the ceiling line)
9) Returned to using left K-Horn on Channel 2 for further tests
10) Added ground-lift (cheat plug) to amp
Result: Hum reduced, but still present on Channels 2, 4, 6, 8
11) Removed cheat plug
12) Added ground wire between outlet cover screw to ground terminal on back of amp
Result: Original Hum in Channels 2, 4, 6, 8
13) Removed extra ground wire
14) Ran high-gauge extension cord to another circuit
Result: Hum in Channels 2, 4, 6, 8
15) Brought in an APC battery backup (UPS), fully charged and connected to mains
16) Connected Monolith to battery backup and powered it on
Result: Slightly louder Hum in Channels 2, 4, 6, 8. Not surprised that the UPS power is slightly noisier. It's not a high-$$ UPS
17) Yanked UPS from mains, silenced UPS alarm and tested each channel.
Result: Hum in Channels 2, 4, 6, 8
Not sure what other testing I can do. I feel fairly confident that this is a hardware issue with the unit. Either back-to-back defects or a systemic issue. I can't explain why no one else is reporting this. Maybe I got the only two units with this defect. I do note that most people seem to be gravitating towards the 200w unit, however. The 8125x has 0 reviews on Monoprice. I tried to add one of my own and it never appeared on the site. Imagine that.