I would recommend getting rid of the built-in controller code, because the current input model is as coercive as can be, and the results aren't pretty.
I ran a test in which 3 controllers were plugged in. I was hoping that (perhaps) the Xbox One or Atari controller would "absorb the imposed controller layout". But.... they didn't. The game forces its layout on all 3 controllers, so I can't create a JoyToKey profile for any of them.