The only authoritative register is the Federal Register of Legislative Instruments. That ain't Austlii and it ain't the AOCM.
If you can't find the exemption on FRLI (or hidden somewhere in the regs), it isn't law.
The fact that there was a general exemption and reference in the AOCM to private operations shows that CASA considers 232 to apply generally. Why else would an exemption be required?