Common Impedance Coupling. It is when power and signal ground currents share the same wire. Some of the power ground current develops a voltage that gets added to the signal input.
I just looked at the back of a R112SW. The power cord has no Ground? Is this true or is it an old picture and Klipsch has since modified? So how can this be a ground loop? Sounds more like CIC. Just get a good quality isolator and fughetaboutdit.
If you want the best quality isolator that money can buy it's simple: Go to Jensen Transformer and get an ISO MAX.
No Affiliation, other than I know their stuff is good.
http://www.jensen-transformers.com/product/sub-1rr/
We were all treated to a demo of Klipsch's phones in Hope this year. First time I've had a pair on in I can't remember when. Nice but it's still not a LOUDspeaker. It is a different listening experience completely IMO.
@EndoYour original post showed a parallel connection of two separate amp channels to one speaker. If these are standard amps with no provision made to be run in parallel it is a BAD idea.
The proper way to run an 8 ohm load in your diagram is to run it off the 8 ohm output instead of the 4 ohm output. And of course off just one amp channel.
no. two 4 ohm capable amps tied in parallel does not equal a 8 ohm capable amp. The best outcome of this would be no damage, the worst could be one or two blown amps