Australia does have competitive federalism, and so many of the localised decisions have been from the states, but the major decisions for seeding - closing borders, acquiring vaccines, etc, along with fiscal backstopping - are federal.
The federal government (under ScoMo) has never polled so well as it has during covid, and for good reason.
(NB: I am no blind Coalition supporter, but they have made decisions which are very popular, and no amount of directing attention to the states would absolve them from blame if we had a situation more like Europe or the US.)