I'll stick my neck out and say it's not HMAS Sydney.
By all the evidence, the battle took place well south or SW of Cape Inscription. Sydney passed Cape Inscription, heading south at speed, at about 10-00am on the day of the battle. The battle took place about six hours later.
Sydney was last seen to the SE of the scene of the battle. The wreck found is a long way to the NE.
If the wreck is Sydney, the entire story of the battle, from the German witnesses is wildly wrong. I think this is unlikely. From the video I've just seen, the wreck could be the Yackyhickydoola.
Let's see what the RAN finds.
And just for Inger---
Inger, after eating cheese,
Directs down holes the scented breeze,
Enticing thus, with baited breath,
Small mice to an untimely death.