Do not think this could be advantageous as it will introduce more inductance that is never good.Good luck though!!
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When you wind power cable on toroidal ferrite you create common mode choke, that exhibits inductance for common mode signals (electrical noise current induced in both wires) and no inductance for normal mode signals (currents in opposite directions produce opposing magnetic fields, that cancel). It is often used to filter out common mode noise without affecting normal signal. I would think that coiling power cable creates common mode air choke - less efficient (lower inductance) than toroidal core choke, but still effective against electrical noise. Winding single wire adds inductance, but winding pair of wires (hot and return) doesn't. This principle is used to create non-inductive wire-wound (bifilar) resistors, where wire is wounded after folding in two (doubled back). Non-ideal winding might produce some inductance, but I'm not even sure it will be harmful. If you don't hear any difference then don't worry about it.
If you don't hear any difference then don't worry about it.
The rest is right too but its this last bit that matters. Most of the advice against coiling is based on large cords coiled many times which can get hot maybe even fire hazard hot. But you just can't coil a fat 5 ft power cord enough for that.
What you can do though is create a field powerful enough to smear the signal- and not just in the interconnects but in the power cords themselves as well. This is not anything you will ever hear as noise, per se. Its doubtful you will hear anything at all. The only way to know if its there is to carefully and correctly route all cables maintaining as much spacing around them as you can. They should also be up off the floor and away from walls and anything else- especially other cables. When they must come close crossing at right angles is better than parallel. Of course we can't always do this but to the extent its possible that's the idea.
Then after all this tweaking you give everything an hour or so to settle down, after all that bending it'll need it. Then listen and it will be like a thin veil has been removed. That veil was the noise you couldn't hear.
If you don't hear it don't worry, you can always put it back. Lol!