Thanks, that will take a while to digest. If it's some type of fingerprint extraction from the data, that sounds like an advance.
The fingerprint of AGW as causing the recent Australia heat is tricky because there are several climate dipole modes that impact the region -- IOD to the NW, ENSO to the NE, and SAM/AAO to the south (and it is summer down there of course). If these occur independently, these could sum up to create huge heat spikes, as this paper from 2016 explains:
"The importance of interacting climate modes on Australia’s contribution to global carbon cycle extremes" -- https://www.nature.com/articles/srep23113
There is also a strong SSW event that occurred. John mentioned it in his tweet below: https://twitter.com/johncarlosbaez/status/1212032690372796416
This is the SA paper: