I hadn't seen that thread before, but it's pretty notable that nowhere is it specified how much (audible) difference there is. If we go by the 'no more than 0.2 ohm' in http://roger-russell.com/wire/wire.htm then it would still take many feet of even the coat hanger to cause any audible problem. So the original reply "As perhaps a remote possibility in a poor cable" is correct...
Obviously if you try to run coat hanger 200 feet for your speakers, you're going to have a problem. Or if you use extremely thin wire at those lengths. Or heavily oxidized/broken wire. These are all strawmen though because that's not at all what people are talking about when they claim cables make an audible difference.
Dammit. I could hear a difference, again an improvement. I heard it right away, long before they were finished listening. Not sure whether this was the biggest audible difference of the night, but it was certainly the most impossible. And everyone else in the room heard it too.
My big question about this is like... but why??? Why would you want cable to make anything "sound different", even if that different is better? A basic assumption is that any cable can do nothing but alter the signal. It's not going to change the physical properties of your speakers, or anything. However, we already have way better tools to alter an audio signal with DSP, if we want. A wire is just a really poor tool for doing the same in limited ways.
To me any cable that could actually A/B double blind different from sufficiently low resistance, good quality wire would be considered "broken" regardless of subjective preference for the end result.