I just encountered this issue and found this thread. This has been well over a year since this thread was created. Ridiculous that this bug has not been fixed. And the "feature" that seemed to have introduced this bug isn't something I want anyway. My Xbox is on a switch with a PS4 and I custom named the input. Every time I start either console it renames the input to the console's name.
Can you please specify the issue you are experiencing? What are the steps to reproduce the issue? What troubleshooting steps have you already taken to try to resolve the issue? Can you please provide us with screenshots so we can better understand what you are seeing?
With more detailed information, we will be able to assist you further.