The CFI says it is not a training flight, but has prior to the flight given the student instructions on the CSU, R-U/C (both normal and emergency).
Ovation,
So this SP flew your plane in the USA with his CFI on board and it's not a training flight. OK, so in that case go to CIVIL AVIATION ACT Sec 20AB which does not permit a student to fly the aircraft unless qualified to do so. PENALTY 2 years in the slammer and foor good measure the PIC has aided and abetted an offence under the Crimes Act.
So the CFI might then say, oops, it WAS a training flight in which case it quailifies as a breach of their AOC unless it specifically allows training outside of Oz, must be part of the syllabus of training and must be in an approved training aircraft.