Could Sydney have restored communications?

Could Sydney have restored a wireless connection after the battle?

An aerial could potentially have been rigged between the funnel and after flagstaff. The exact equipment available and whether a station was listening remain unresolved.

The class's separated machinery and alternatives such as an aerial run from a funnel to the after flagstaff offered possible routes to restore communications. If fire extended only to the after funnel, machinery and propellers farther aft might still have remained usable. Sydney's equipment list would be needed to establish the precise transmitter arrangements. A restored transmitter would also depend on a station being available to receive the signal. Those limits prevent the ship's design redundancy from establishing what actually happened aboard.