Twisting cables is for blocking outside noise impacts from other nearby sources of magnetism (EM? too). Standard technique, so not sure why simplest twist would give more noise. See Twisted Pairs: Why are Wires Twisted? – Audio University (audiouniversityonline.com) for explanation. Most obvious company here is Kimber. They do seem to use more complicated twists in higher cost cables. Do not believe Cardas twists with their complicated geometry of different size conductors. But many cable companies use different shielding (foil, polyethylene, etc.) for blocking as well.
Did read ASircom review of Odin 2 when came out. Is actually copper with silver overlay. He did actually test 100,000 British pounds of cable in a 10,000-pound system. Loved Odin 2 which seems to be the general consensus (like ghdprentice who tried them) and admitted likely used in more expensive systems. Have seen this before with the plating of silver over copper. Not due to cost, but many saying silver can be sibilant, emphasizing the highs. Some saying copper good for lower regions and silver for higher so the compromise. Not sure how that relates to the higher conductivity of silver unless an inductance game for reactance as that is proportional to frequency. So then maybe silver would enhance the highs.
Is certainly a varied game with monofilaments, Cardas the different sizes (golden ratio), Kimber (complicated twisting), anticables (naked), square conductors, oval conductors, etc. Questions about skin effects and high frequencies running there. Seems like number of manufacturers are able to use different constructions and still come up with great cables. That is why trial basis is best way to go.
Lastly, could also try Audience now acclaimed Forte f3 power cables. Considered very good for the cost. Am very happy with mine, even if considered entry level.
Do generally agree with excellent, detailed comment from williewonka. Classic movie by the way! (the original, of course!)