You're potentially wrong, let me explain why.
When the US did that, there was a massive backlash.
Becauae the people who use medicine the most are old, and the instant they saw brown doctors they wouldn't stop ranting, demanded a different doctor, we're sure the doctor was poisoning them or otherwise couldn't understand English, etc.
If they have to choose between long wait times and brown doctors I don't know how Australia would decide.
It was a boomer trope for a decade, and not even slightly subtle in its racism.