B&M shifter cable problim

I would remove the cable to see if it is indeed burnt through anywhere IF I couldn't see the entire length of the cable seeing that it isn't damaged.

You probably know this but put the trans in first and make sure the swivel slides in and out of the trans linkage without binding then put the trans in park and see if it slides in and out of the linkage smoothly. You will then have the cable adjusted properly. I can't explain why it worked on the 318 and not on the 360.