I am fully for phone tracking with one simple proviso - I will not be worse off.
If it were only contact tracing I am ok with that. The Minister just said the police will not have access - true, but that is not the whole truth. Lets say I broke travel rules to a party/bbq I trust health workers, but it is possible the police get to hear quarantine and hand out a fine after after the fact.
A clear statement that the information collected, the information is legally inadmissible in any court of law, state or federal, protected by Commonwealth emergency legislation, and a criminal offence for any entity other than health care wokers using it for anything other than contact tracing.
Presently the Federal govt has a blanket information sharing loophole - like so called metadata - that leaks information with a warrant. Police also collect tower dumps, sometimes no warrant, scooping up everyone. So I ofen let my phone go flat.
If they want unconditional worry free take up, they better enshrine narrowness.
So far they are keeping the distrust - I am not convinced. Even then I would compile the app from source onto my phone, and add a 10 minute warning tone.