Yes and? Australia should have asked the UK that he is extradited to them (and prosecuted under Australian Law) and not to a third party (with a possible death sentence).
That's not how extradition works, ever. Yes, many countries have extra protections against extraditing their own citizens, but those only apply while those citizens reside there.
Otherwise there would be a booming naturalization business for some less-scrupulous nations.
Do you have an example of country A asking France for permission before extraditing a French citizen who was not wanted for crimes in France to country B?
Argentina asked Switzerland to extradite Jean Bernard Lasnaud for smuggling Weapons to Ecuador and Croatia (he's French), and why Argentinia? Because the former President Carlos Menem and other Politicians where involved in it.
As an example, France would ask A if he can extradited to France and prosecuted there, even when let's say the crime was in Country B. The US did something like that with Otto Warmbier:
> Argentina asked Switzerland to extradite Jean Bernard Lasnaud
That's Argentina asking Switzerland to extradite a French citizen to Argentina for crimes committed under Argentinian law. The article does not say that France was asked for their opinion or permission.
That's the US asking North Korea to release a US citizen jailed there for a crime against North Korean law. Extradition does not enter the picture at all.
Espionage:
https://en.wikipedia.org/wiki/Capital_punishment_by_the_Unit...