Eradication v Suppression is largely semantics.
The suppression we had with the first lockdown pretty much led to eradication ie no more locally spread cases .
It had got to zero in all the smaller states and maybe 1 new case a day in Victoria and NSW.
Then the only new cases were people returning from overseas, but this is no problem if you quarantine them.
This strategy worked in all the states.
The problem was in Victoria where the morons in charge of hotel quarantine security totally fucked up and that let the genie out of the bottle again. Then they went home to their families and communities and spread it everywhere. To make things worse many of those private security guards and indeed those people prematurely released from quarantine are from migrant cultures that have big families and close knit communities, or live in high density public housing so the virus spread even more quickly.
And it is now spreading from there to other states.
If the police and military were in charge this almost certainly would not have happened.
It just shows how out of touch politicians and senior public servants are.
Any person in the street who has seen private security guards in "action" will tell you that yeah sure they are OK to stand outside a Bunnings store, but in charge of the biggest pandemic in a century? WTF!