Remember that the Termites of the Sth Vietnam days would have been RAE, those elements were transferred along to the RACT back in the 70's when the transport elements of RAE and RAASC were merged to become the RACT of today.
Today's Terminal Squadron and Movement Control units come under an entirely different Corps management than the ones of the Vietnam days.
Having said that, an extract from the Commanders Diaries 1 Coy HQ RAASC 5 April 1967 reads:
"DADST, OC 1 Coy., 2 i/c 5 Coy., interviewed by Comd 1 ALSG and directed that Coy. RAASC to accept Command and control 30 Terminal Group RAE which comprises 1 Offr and 16 ORs. Also notification that actual Terminal Group Operations would be tasked and controlled through HQ of the RAASC for R & Q." Historical note (written by the OC 1 Coy in 1967) "This could well be the humble birth of the Australian Corps of Transport."
Regards
Glen