White and Nerdy, I want to hear more. Are you telling me honestly, you have done this personally on the xbox one? without any additional componants, and the sticks swapped without any drift? Myself and RDC both have attempted to southpaw, but have run into centering offset values on the xbox one. It has been discussed that 1 in 100 controllers are identical and the sticks would swap fine. All others have a offset due to stick calibration that must be accounted for.
This was not the case with the 360, there was no issue, but with XBox one, it has proven to be a problem.