Are you sure that the problem is consistent with the cable L/R swapping?
In other words, can you switch the cables 100 times and get the same result?
Do the test that @mlsstl suggested and then take it a step further by measuring
the output of the pre at the cable ends. Also, try different cables.
I once had a cable that had one strand just barely grounding the positive, drove me nuts because switching the cables L/R would "fix" the problem, and then it would reappear. Took a jewelers loop to finally see it. And yes the cable checked good on a VOM simply because I was moving it around.
Regards,
barts