However, I'm going to argue that it's perhaps easier to eliminate than we might expect (at least in Australia)
In fact there's reason to suspect that Australia would have successfully eliminated it except for a leak from quarantined travelers.
What if they now actively chase elimination?
What I want to speak about now is why that explosiveness is actually a weakness for the virus when it comes to elimination.
Every once in a while the virus gets lucky and 10, 20 or even more people get infected at once.
But the average is something like 1
Even if contact tracing misses some people we're not at high risk.
Some of them don't happen because that person didn't go to the wedding/birthday party.
Some happen, but are much smaller than they would have been.
But some still happen. (this is probably what happened in Melbourne).
So many of the others in that cluster are also found.
And SARS-CoV-2 relies on large clusters more than most diseases.
So test/trace/isolate is more effective for SARS-CoV-2 than it would be for most diseases.
And whether we can get that final push to eliminate it will depend on decisions by policy makers and whether the public is willing to tolerate restrictions as numbers fall.
Many states successfully eliminated it.
It may yet happen again. The public would need to be willing to accept restrictions while case counts are low.