yr right is actually correct. or he used to be before the regulatory embuggerment.
does CAsA have jurisdiction over New Zealand Airspace? no
does CAsA have jurisdiction over the airspace in your lounge room? no
does CAsA have jurisdiction in the airspace in the top of a pipeline? no
does CAsA have jurisdiction in outer space? no
so where does it have jurisdiction?
find where that is spelt out and you have your answer.
I think it is in the empowering act.
I gave all my paper copies of the acts to a chief flying instructor for reference so I can't dig out the answer.