Here’s a link to the AAT matter.
Essentially, CASA decided that Clarke did not hold and had not held a flight crew qualification, granted by the ADF, at least equivalent to a flight instructor rating to conduct ab initio flight training in ‘little’ piston aircraft. Here’s the relevant reg:
61.285 Australian Defence Force qualifications—recognition
Despite anything else in this Part, a member or former member of the Australian Defence Force is taken to meet the requirements under this Part for the grant of a flight crew licence, rating or endorsement, other than an examiner rating, if the member:
(a) holds, or has held, a flight crew qualification granted by the Australian Defence Force that CASA is satisfied is at least equivalent to the licence, rating or endorsement; and
(b) ...
(c) meets the aeronautical experience requirements for the licence, rating or endorsement ...
Presumably CASA is worried that Clarke would move students too quickly into transonic and supersonic configurations in the Cessna 152, and be getting them to do initial and pitch approaches.
I think the standards of literacy in our schools would be higher if there were more professors of mathematics in them teaching it.