Only if there's the possibility of a massive fine involved. The ACCC receive FAR too many reports to action any more than a tiny percentage of them. More often than not they respond saying they can't confirm or deny any violation, but you should try mediation.
The threat of the ACCC is usually enough for international companies to provide the refund, in my experience. Link them to the Repair, Replace, Refund page[0] and you're good.