To be honest, Australians would probably hardly notice the difference if the monarchy was ditched or not and they would still fawn over the royal family like we do in the US anyway. Not that I'm against that. The British monarchy is endlessly entertaining. There's even that whole show about it, The Crown! Good stuff.
I know she visited the Republic of Ireland and made nice with them and everything, but I can't help but respond to your post with the following:
Come out, you black and tans,
Come out and fight me like a man,
Show your wife how you won medals down in Flanders,
Tell her how the IRA,
Made you run like hell away,
From the green and lovely lanes of Killeshandra
Come tell us how you slew them ol' Arabs two by two
Like the Zulus, they had knives and bows and arrows
Of how bravely you faced one with your sixteen-pounder gun
And you frightened all the natives to the marrow
I could care less since I'm an American with a term-limited president elected as my head of state and view the British monarchy as a quaint antique tradition, but I'll say this: your King Charles III is one entertaining goofball and even his face is a source of amusement. LOL. It's like if a troll face meme ascended to the highest office of the land and became your liege lord. How can you stay mad at this guy, with a face like that? Well, so long as you ignore that Charles bailed out his brother Prince Andrew over the latter's involvement in the whole Epstein underage sex scandal stuff.
Ah yes, I see the antiquated idea of divine right has entered the chat. All current heads of state were also ordained by the big G-man himself, God above. That means President of the United States Joseph R. Biden was appointed by God to serve as his lieutenant on Earth. God be praised!
I think the British monarchy should just go full Imperial Chinese and adopt ancient China's Mandate of Heaven, that the current ruling dynasty of the Windsors rule according to the rule of Heaven (Tian) and the balanced order of the universe per the rules of yin and yang. That means Charles III is the Son of Heaven! Neat! He should wear one of those Qing dynasty emperor robes the next time he steps outside the gates of Buckingham Palace, and grow a righteous Fu Manchu beard.
I suddenly want a fantasy show where Charles III becomes the cult leader of a Kung Fu clan that terrorizes his enemies in the night like the Foot Clan in Teenage Mutant Ninja Turtles.