We've read the appeal transcript for Tom Brady and the NFL Players Association so you won't have to. Here is the full document. Here are the highlights:
The NFL absolutely didn't want this released.
The Players Association was the entity that requested the transcript be made public; the only people who try and put this in the public sphere have nothing to hide. The NFL refused, so the transcript remained hidden. Well, the NFLPA attached the transcript (along with a thousand other pages of exhibits) in their counterclaim to the NFL's filing in the New York Courts.