That example, a 6 gauge would yield like a quarter the resistance of the 12 gauge. (How’m I doing, Al? <grin>)
Right you are :-)
In the context of wires such as these examples, that are intended for AC power distribution, "non-metallic" refers to the sheathing that surrounds the conductors, and the designation THHN defines certain characteristics of the insulation. I believe that the commonly used Romex NM-B is an example of non-metallic ("NM") THHN wire.
There have been a few reports I’ve seen over the years from audiophiles and at least one reviewer I can recall about having tried some forms of Home Depot or Lowe’s wire as speaker cables. My somewhat vague recollection is that the results in most cases were nothing to write home about :-)
Also, I would expect the four-fold reduction in resistance going from 12 gauge to 6 gauge (or for that matter any reduction relative to 12 gauge) to be overkill in nearly all applications, at the lengths you are dealing with. Including a speaker application such as yours, where the particularly low impedance of the speakers makes cable resistance more critical than it would be in most other cases.
Beyond that, it’s anyone’s guess as to how well or poorly such wires would synergize with your particular equipment. But FWIW my guess is that using wires not intended for speaker cable applications would be a longshot at best in terms of optimizing the sonic return on your cable investment, even at their modest price points.
Regards,
-- Al