It took courage for Meghan, the Duchess of Sussex, to admit she had mental health issues and considered harming herself, a federal government minister says.
Agriculture Minister David Littleproud also played down her explosive US television interview with Oprah Winfrey, which criticised the royal family.
"Obviously, the world's watching but I think it will blow over," he told Nine's Today Show on Tuesday.
"I have to say it. It was great to see that Meghan was able to say that she had some mental health demons.
"There should never be a stigma about that. That takes courage."
In the interview, which aired on Sunday in the US, the Duke and Duchess of Sussex made a series of allegations against the royal family, one of which involved their son.
She told Winfrey there were "concerns and several conversations" with Prince Harry about "how dark Archie's skin might be when he was born".
Meghan, who is biracial, declined to say who it was that had the conversations with her husband about Archie's skin colour because it would be "very damaging" to them.
She said she suffered with her mental health during her time as a senior royal, stating she "didn't want to be alive any more" and claimed she sought help from a senior member of the royal family but never received it.
Australian Monarchist League chair Philip Benwell said the couple should never have taken part in the interview.
"They should be thinking at all times of the Queen and her sensibilities instead of going off," he told AAP.
The Queen was 95 years old and her husband, Prince Philip, was in hospital, he said.
"It shows a complete misunderstanding of the royal household. You can't do your own thing. You're there to serve."
Asked about the allegations made during the interview, Mr Benwell said the claims were not new and were irrelevant.
"If Meghan had such concerns then the Queen would have listened. Prince Charles would have listened," he said.
"I think they've been through purgatory."
Mr Littleproud said the racism claims were a concern, "but they are only one side of the story and we shouldn't jump the gun".
"We need to let that family get on with resolving their issues as best they can."
Former prime minister Malcolm Turnbull, who led the Republican movement to a failed referendum in 1999, believes it is time to revisit Australia's connection to the British monarchy.
However, he concedes there will probably not be a mood for change until after the Queen's reign.
"It's a simple patriotic objective to have an Australian citizen as our head of state," he told the ABC.
"We should be so proud of our country and our fellow countrymen and women that we should say that only an Australian should be eligible to be our head of state.
"Only an Australian is eligible to be our prime minister, so why should it be any different?"
Mr Benwell laughed off Mr Turnbull's call to revisit Australia's ties with the monarchy.
"It's a system that works and protects our democracy because it's the only system that stops politicians from assuming absolute power," he said.
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