Heheh, ok, Steve, here we go 
Whoa! Dude! Hey, I didn't mean it! I was only kidding!
Er, you wouldn't hit a blind man, would you?

Ok, so the different cord constructions would allow for slight capacitance differences between hot / ground. So dissimilarities between components relationship to ground, presumably exaggerated if dissimilar cords were to be used. Sounds like 'non star grounding' problems typical within any given component. So that's an easy fix - use the same cable for everything.
No, it's not a "non star grounding" problem. It's an interchassis current problem which hasn't anything particularly to do with whether or not the circuit uses star grounding.
I'd imagine that amount of capacitance to be very low, therefore would act in two ways: inter-component noise, which should be easily taken care of by the filter caps in the power supply, and a potential low pass filter to the power system supply frequency, which would - quick back of the envelope guess - be acting on frequencies >than 50kz. Outside of the range of most speakers, and again, dealt with by the power supply.
Power supply hasn't anything particularly to do with it either.
The "problem" is the safety ground itself. Its purpose isn't really to actually "ground" anything. Its purpose is purely for safety and is nothing more than a return path to neutral in case of a fault where the hot comes into contact with the equipment chassis.
Your example would essentially be a null result, especially on good gear with decent PSU's, and less so (but still marginal at best) on cheaper gear. A bit ironic no? The good cords would only help out the cheap gear? Ah, but this arena is no stranger to irony in design.
Well again, it hasn't anything particularly to do with power supply design.
Let's move on...
Ok.
Shakti stones, those weird little resonators that the 6Moons guys like (which physics says can't work as described), and other esoteric doo-dads hung, set, clamped, dangled or otherwise used to enchant gear - make a difference? What does any rational person think? Yet, if people are convinced, let them be. It's like religion, or S&M - if it feels good, go for it. Just not my cup of tea, and that's just fine, since we all get to choose.
I think you may have missed my point.
I'll just draw the line in acting, or believing, (or paying!) for that tinfoil pyramid to sit on top of my preamp. Like we talked about earlier, humans are impressionable things. Some are convinced that a dead rabbit appendage on their keychain can positively steer the days events. Audio snake oil is just an extension of that belief system, with the twist - 'I paid a LOT for that, and it's very beautiful, so it must work'. You're right, people are wanting so bad to believe that they outright convince themselves.
It's really not so simple. There are a number of things which can contribute to the subjective perception of differences even when there are no physical or actual audible differences which have absolutely nothing to do with what people want to believe.
My point is that the phenomenon is real and has been long established. And that begs the question, how exactly does one know if their perception of differences is due to actual audible differences or to this phenomenon?
I see those who would simply dismiss those who put photographs of themselves in their freezers, but insist that interconnects and speaker cables are audibly different because "they heard it" even though those with photographs of themselves in their freezers also "heard it."
See what I'm getting at here?
What's that Forrest Gump line, about life and fruitcakes? I can't remember, something like that perhaps applies here too.
Mmmm. Fruitcakes? Think it was a box of chocolates wasn't it? "Life is like a box of chocolates. You don't know what you'll get."
You know why i like this conversation with you? Is because you are a CABLE GUY! and you're discussing the false faiths people have with products in your very industry. You're bold Steve, don't let anyone tell you any different 
Why thank you for the kind words. I've enjoyed this conversation with you because you haven't taken anything personally or tried to read things into what I've written which were never there which always makes for a pleasant conversation even if there may be disagreement.
But yeah, I'm bold, though I hear tell of some guy named Wayne who they say is actually... Bolder.

Seriously though, I don't see it as being bold, but simply being honest with myself. The phenomenon of subjectively perceiving differences even when there may be no actual differences is well established, and I have yet to see any convincing, conclusive proof of actual audible differences between cables (within reason of course).
What am I to make of these two facts? Best I can say is I have no answer. I simply don't know. And I'm quite content not knowing.
I was actually basically called a pussy by someone for this. Instead, I should take a leap of faith, adopt one belief or the other and be prepared to fall on my sword like a man should it end up I made the wrong choice.
I simply can't understand that sort of mindset.
se