I like the motto "first, do no harm". The solution should not be worse than the problem.
There is a farm on the eastern shore of Maryland where many, likely over 100 eagles over the years have been found poisoned because some nut doesn't like them.
You must love the movie "Willard"?
Sorry ! Not the same thing. Poisoning Eagles in the U.S. because someone Doesn't like them isn't a Cure for a out of control Rat problem
in Australia. But there is a Cure for that. It's called the Courts.
If Eagles die in Australia During this War between Vermin & Humans, I won't shed a Tear, I'll root for the Humans who Live there
"Willard"? Sorry ! Maybe your post isn't meant for Me

Saw it once in the Theater, I was 16, Liked & Hated it .
(I Liked Horror Movies, But no fan of Vermin)
Never wanted to watch it twice. If you read my Posts above you should realize I Hate Mice & Rats & Also Hate Peta.
why Would I root for a Rat ?
Again, Animals that Hop, Bark, Meow, chirp Whatever can be reintroduced after the Rodents are eliminated .
people can protect their pets. if the rats don't eat them first.
The people who live there now Are thinking Breathing talking Human Beings.
They cannot be replicated. & Should not have to Leave their lives for Rats to continue to grow and spread out
till they infest the whole island with bubonic plague.
imo The Problem already is Worse then the Solution
And I'm sure Peta Loved Williard !