Well guys, it looks like I spoke too soon on this.
I have a very unique problem. The broadcast is too slow. It doesn’t stay in time with the BD. And yet detelecining the braodcast to 23.976fps DOES produce smooth motion (which then needs to be sped up to around 103-104% to match the speed and the pitch of the BD). This makes literally no sense at all. The film itself was shot at 24fps, so I have no idea how a broadcast would have the proper framerate yet not have the correct duration. This has me totally baffled. Speeding the footage up introduces jerky motion. Keeping it at smooth motion makes the footage duration take too long compared with the BD, so the audio transitions don’t work. This is the strangest thing I have ever seen.