Can this destroyer be deployed to the Australian coastline and take out certain critical infrastructure targets like power-plants, telecommunications etc??
How does this compare with the latest Arliegh Burke class destroyer or latest Australian Hobart ?
You should ask this question to ChatGPT and see what it says. Its too amateurish of a question to be answered by a human.
A destroyer like type 055 is a defensive ship who's primary mission should be air defense of a larger fleet. It should be the leader of a fleet of destroyers escorting capital ships like an Aircraft Carrier or amphibious assault ships.
If China wants to Bomb Australia, they will not be sending one destroyer. They will be sending a fleet of atleast 2-3 carriers, 2 dozen destroyers, another 2 dozen frigates and countless support ships to form a massive "Combined Fleet". See Japanese WW2 tactic of a Combined Fleet composed of multiple Carriers. US also did the same. That's how Navys will be fighting in a distant battle.
Although conventional naval thinking is that the carrier should be offensive arm of such a fleet and Carrier planes should be the one striking land targets. But that kind of doctrine may change in the modern battlefield where Carriers might be too vulnerable to a lucky shot anti-ship missile. Moreover, air defense might be too strong around a country like Australia to attack with planes.
So, planes from carriers might work as defensive escorts and it might be the type 055 and other destroyers that actually work on the land attack role. This is a still evolving technological evolution happening that could change conventional naval thinking.