The confusion probably arises from the fact that the English Parliament uses the non de plume “British Crown” to refer to itself – and uses a “crown” symbol to represent its power (believe it or not – the crown changes design – depending upon whether there is a king or queen on the thrown). In our election system, capitalism and liberal democracy (both invented by the bourgeoisie) cannot be voted out of office. Only the political parties “representing” and “managing” this bourgeois system can be “changed” by voting every four or five-years. Even if King Charles III was prosecuted – he is of German origin and his family was not on the throne when Australia was discovered. It is the permanent bourgeois institutions that are supported by the English Parliament – the Executive (which enforces laws), the Legislature (which makes laws), and the judiciary (which interprets laws) – and the English Parliament itself, that would probably need to be prosecuted. In other words, the national government of the UK administered from Westminster. In this regard, the responsible Prime Minister (which would be Frederick North – Lord North) would probably be the target of such a prosecution. As he has not been alive for hundreds of years – there may be a legal hurdle here that cannot be overcome.
