All of the versions available on the Blu-Ray do start from the Final Cut version, where it is cleaned up for picture and sound -- but left edited the way each version was presented at that time. You're not cheated here being presented with them dropping a straight VHS transfer or something for these versions.
Example, the International and Original Theatrical Version DO NOT have the re-done scenes with Joanna Cassidy, leaving the male stunt double in place and readily apparent.
The International and Theatrical Release are those *versions* but they too have been remastered for picture and sound. Hopefully that's clear in my definition.
I have compared all the versions to their original counterparts for verification and they clearly have been remastered for the Blu-Ray release.