Wire twisting polarity.

above is referring to the "right hand thumb rule"

Looking from the source to the load, should the twists be clockwise or counterclockwise? Does it make a difference

The twists configuration *may* or *may not* make an audible difference; you simply have to try it out within the context of the specific application. I am not even going to hazard a guess.
But it doesn't really matter whether you're in your listening room, in Antartica, or on Mars.