The leaked order doesn't mention fair-trial concerns, and explicitly claims a rather different motivation: 5. The purpose of these orders is to prevent damage

The leaked order doesn't mention fair-trial concerns, and explicitly claims a rather different motivation: 5. The purpose of these orders is to prevent damage to Australia's international relations that may be caused by the publication of material that may damage the reputations of specified individuals who are not the subject of charges in these proceedings. (Off-the-cuff speculation: an Australian may be charged with either taking bribes from, or offering bribes to, someone high-up in another government. In which case, Australia wants to prosecute the Australian in question, but doesn't want to call out the important foreign official on the other side of the transaction.)