I have a final step to the original procedure. Only do this after you have done a successful unbrand. Use THOR2 (which is conveniently included with the Microsoft Device Recovery tool) to change the product code to match what you did in the registry. In the case of the NAM 4R CV 635 (which is the RM-975_1043 in the example) the product code is 059W4X2. Procedure below:
[INFO]Navigate to the folder where thor2.exe exists i.e. C:\Program Files (x86)\Microsoft Care Suite\Windows Device Recovery Tool and run this command with the phone plugged to USB.
thor2 -mode uefiflash -ffufile "[name of firmware file previously downloaded].ffu" -productcodeupdate 059W4X2 -skip_flash[/INFO]The -skip_flash flag prevents it from actually flashing the rom to the phone so you don't lose any data.
What this accomplishes is that you can now use the WDRT and it will recognize the phone as the new product code in case you want to use that tool to recover it in the future.
[NOTE]I have verified that this procedure works on RM-877*, RM-975 and RM-915, and doesn't on RM-820. Your mileage may vary.
*the product code change, not the unbranding[/NOTE]One more really final step for completeness, plug the phone to Nokia Care Suite and print a replacement IMEI/product code/etc barcode sticker. I'll leave that to the diligent to discover.
Thanks to anaheiim for pointing me in the right direction to discover how to do this.