Firstly, let's be clear for this discussion: The title of the thread refers to Uncontrolled airports which are in Class G for which I provided a link.
Uncontrolled airports have their own particular problems in that one minute there's nothing to indicate someone else is there and three minutes later as you let down on final, someone is tracking the entire length of the runway. And at many locations there is very little traffic so very few transmissions making it more difficult to learn to subconsciously the correct phrases.
What they don't generally have is a problem getting your transmission out given that you might get up to six in the circuit at one time vs CTAF where you might have 11 competitors all using clipped transmissions because that's what they do every day.
For that reason the easy plain English document I posted here about five times shouldn't be too hard to learn. CTAF pilots also need to learni it if they are going to fly cross country.
I'm assuming you're flying in both Class G and at Moorabbin.
I've posted the Class G requirements.
For Moorabbin, there are different requirements.
The confusion you've met in talking to various instructors was always there, because there is a mixture of people training for CPL who are instructing for income and long term Instructors.
So you need to get source documents from CASA.
If you don't have them you need to get training and fit aircraft equipment for which you talk to a school at Moorabbin.
I did comment, from memory telling you my teachers over the years have used about 20 different versions if you don't count the barrel rolls to and from the training area by one of them.
My point was it was a waste of time.
1. You need to know what you are supposed to listen for and transmit, so you can learn the correct procedure.
2. Then you have to sit there lap after lap and listen to the instructor, who may well be taking shortcuts or doing other things to teach you the key actions for the circuit (so radio might get butchered for some). During that phase you will certainly get to understand why some calls should never be missed and how to get a clipped call in when the circuit is jammed how to join, how to fly slow if you are catching up, how to build more distance going long; all the little tricks a CTAF instructor will show you.
I can understand the Instructors being a bit bemused.
In your case, with a lot of current US operations plus Class G plus CTAFI would be keeping a ring binder with the procedures to go over and over to stay current, but you need the source documents, not Social Media and not random airfields or instructors.