This is possibly of no use to people in NSW but we in Vic have recently had this legislation passed..
https://www.vic.gov.au/rentfair/pets-are-welcome.html
It means that only Landlord approval must be sought.
If it hasn’t happened in NSW yet then I hope it will soon as pets are so important to those of us who love them (and are responsible).
My apartment block has 2 lots of dogs ….. 2 well-behaved Chis in one flat, 1 American Staffy in another, and none of them cause the slightest trouble.