[gerilege]

I'm in Central Europe, but they send national wire payments from a local bank here as well, just like in Australia.
The processing time is not deterministic, but it never took more than 6 business day for me. Sometimes they make it in 1 business day, usual is 2-3, it depends on which day you request the withdrawal.

What I have found out here is that I almost always receive my withdrawals on Wednesday or on Friday. So at least here it is likely that they almost always pay on Tuesday or on Thursday. This year I have requested a withdrawal 8 times so far, 4 of those arrived on Friday, 4 of those on Wednesday, and I requested them on various days of the week. I'm not saying for sure that they only make transfers on Tuesday and Thursday, but it is very likely.

Once I experienced a delay of 6 business days, but never any more in the last few years. What I believe you can expect - with local modifications, you will find that out with experience:
You request withdrawal approximately on at latest Tuesday early morning -> you get the money on Wednesday.
You request withdrawal approximately on at latest Thursday early morning ->
you get the money on Friday.
So in the worst case scenario, when you request your withdrawal on Thursday afternoon or on Friday-> You will only receive it on next Wednesday. But that is the longest delay you can usually expect.
The exact days in Australia might differ, but I'm quite confident that you will find a similar system over there. I will check back my account history for previous years to confirm the above stuff.