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That's a semantic difference.It certainly is. The syntax of the Australian Constitution sits firmly within British conventions of monarchical behaviour, buttressed by the Acts of Westminster and the Australia Acts.
We are an independent nation in custom and law. If Her Majesty tried to do anything, she would be ignored. If she sued, the High Court would politely explain that her role is entirely ceremonial and that Parliament is the supreme source of executive and legal power in Australia.
The principle that Parliament is supreme over Crown was established in British law before Australia was colonised. It's pretty well-accepted at this point that the royals have no power.