If HMAS Sydney had survived her battle with Kormoran and reached port, would she have been repaired or written off?
Short answerAustralia would probably try to repair her in Australian yards, though the work could take a very long time.
NotesThe counterfactual imagines HMAS Sydney surviving her battle with Kormoran and somehow reaching port despite serious damage. Australia would probably want to repair the cruiser in its own yards rather than send her elsewhere. That choice could make the work take a very long time, so survival would not mean a quick return to service. National industrial capacity and repair policy can determine whether a damaged warship becomes operationally useful again.