As I said, common choke works because of mutual inductance coupling between the positive and negative. Coiling up the cable will not increase the mutual inductance since they wire still running in parallel in respect to each other. Not only that, by coiling up, you increase the mutual capacitance of the positive and negative which will degrade the signal dynamic.
If what you said is true then every speaker cables should be all coiling up.
Here's a pic of a common mode choke. You have to coil it up in such a way to increase the common inductance coupling. So in order to make a common mode choke, you first have to separate the positive and negative like the picture. Just coiling up them all together won't make a common mode choke.
https://www.coilws.com/images/common-mode/common-mode-choke_schematics.jpg
If what you said is true then every speaker cables should be all coiling up.
Here's a pic of a common mode choke. You have to coil it up in such a way to increase the common inductance coupling. So in order to make a common mode choke, you first have to separate the positive and negative like the picture. Just coiling up them all together won't make a common mode choke.
https://www.coilws.com/images/common-mode/common-mode-choke_schematics.jpg