Wire twisting polarity.

Assuming the audiophilic truth that everything makes a difference, the answer is yes. And thank you for bringing up something I've never thought about.

Elizabeth, the rule you are talking about is called the Right-Hand Rule.

I don't think it matters - each successive twist has the opposite field polarity of the previous. And, no, the hemisphere has no effect. Coriolis "force" mainly affects air mass and water dynamics.

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.