(...) I have tried.twisting just the hot and neutral. (...) I twisted the hot and neutral but not the ground. I left the 2 grounds loose. When I measure mV neutral to ground, I had 0 on both legs.
From the theoretical point of view of physics it is the correct way to do it - the ground wire should be at less two feet away from the twisted cables for optimum performance. But usually this practice is now allowed by codes - the ground wire must be put in the same conduit.
For reference we can look to the final part of the classic https://www.jensen-transformers.com...est-of-Story-Whitlock-Fox-Generic-Version.pdf , where powe and mains are addressed. I am trying to remember the name of the author of another reference article on the subject who has nice graphs on interference versus ground wire distance, I will post it if I manage to do it!