Off-topic, but do you use your turntable immediately adjacent to your speaker? If so, then I would anticipate experiencing problems much more significant than this finding.
If it was magnetic field I would agree, but I suspect that this is either voltage field, or noise coming in on the ground or neutral side.
It could take an O-Scope to figure it out.
Since the foil wrapping ameliorated the effect, then we can probably rule out the ground (and any added capacitance added in when it was touched.)
which leaver us with whether the tonearm tube is metal, plastic, wood, etc.?
I do not think that foil wrapping metal should affect it.
If it did it could be the ground of the tone arm, if there is any.
What is the tonearm made out of?
And if the arm is not conductive, then maybe the wires inside are not twisted at all. But I am not sure if is any concern.
While it is pretty interesting, I am not sure if it is a problem that begs a solution?