kdogg36 said: "This question comes from pure, idle curiosity!
Can individuals who were intimately involved with a production, like writers and directors, obtain their own copies of archived recordings, or do they also have to visit in person?"
I work at the Performing Arts Library, directly with the TOFT archive. No one gets a copy of a video created for the archive, no matter what his or her connection with a production may have been. When Stephen Sondheim wanted to see a video of one of his own shows, he'd come to our building to see it. I saw him in the screening room on 2 or 3 occasions.
Some of the rules have changed in recent years. It's no longer necessary to specify why you wish to see a video. As long as you have a valid NYPL card, and a Special Collections account (to use research materials), that's good enough.