They are indeed to tied to the serial number of the back.
Simply put, the ICC correction would not work from one back to another.
Wow, that pretty much confirms what I have discovered. Dam!
Maybe Phase should make this fact a little clearer, as someone could have a standardized studio set up with LCCs saved as User profiles, applying as needed later, and if they had a loaner in for a few days (maybe during the repair of their back) they would be screwed later when the tried to apply their saved LCC profiles farther down the line.
Oh well, better polish up my rusty Photoshop Color Blend skills to fix the bits that show!