COVID AND THE VACCINE - TRUTH, LIES, AND MISCONCEPTIONS REVEALED, page-19798

You should fill in the Australian Immunisation Register (AIR) - ceasing correspondence and release of information form (IM017), sign it and print it off, then produce that if they request Vax status and say that your medical records are sealed from anyone but your doctor. Worth a try, works in some places in NSW.

https://www.servicesaustralia.gov.au/im017