"What provision, precisely, of the TSI Act prohibits the ATSB from publishing ATC/Centre recordings? There are 'live' feeds of ATC/Centre comms on the internet."
Division 3 - RESTRICTED INFORMATION.
The VOICE recordings and ADS replays are, no doubt, important elements of both the ATSB and any AsA Investigations. Such material would be classified restricted, and protected until the ATSB releases it.
In the past, Airservices has had to request permission from ATSB to enable use of such material in their own investigations, when ATSB has established its own investigation.
Hence it is not a simple matter for Airservices to release in-house investigations, particularly when ATSB is still conducting theirs.
Let's not even consider wandering down the path of liability, privacy, etc, of a release based on an unprotected internal investigation.