We're a "self-governing dominion" and, as such, are 100% autonomous. Well, 90%, anyway.
Back in 1974 the Governor General, acting on behalf of the Crown, sacked an elected Australian government to open the doors for his conservative cronies (misnamed the Liberal Party) to take over. From that point I was a staunch republican.
But your reference to German sausage came up the other day when somebody started a discussion on food we preferred not to eat. I opted for German sausage and pointed out that while the best of the wurst was pretty good, the worst of the wurst was unpalatable.