The constitution still has s 73 which allows some court appeals to the Privy Council. This is despite efforts to block all links with UK.  The Judicial Committee of Privy Council of King Charles III consists of Justices of the Supreme Court of the United Kingdom and senior judges from the Commonwealth.
Recent/Current Judges (Feb 2026 hearings): Chairman - Lord Reed. Lord Hodge, Lord Briggs, Lord Burrows, Lady Rose, Lord Richards, Lady Simler, and Lord Doherty.
Function: The JCPC hears appeals and makes reports to His Majesty in Council.

Then Lord Reed as Chairman can in theory advise the monarch on royal decisions for Australia, which places Reed above the Gov General in hierarchy.  Reed has an undemocratic appointment and can't sit in the House of Lords, being a judge.  He is not royalty and not a president. Technically, king and judge own Australia, but someone has to.