Peter, this is very simple. Your aircraft falls under the definition of CAO 40.1.0,
SINGLE ENGINE AEROPLANES NOT EXCEEDING 5 700KG MAXIMUM TAKE-OFF WEIGHT
All single engine aeroplanes not exceeding 5 700 kg maximum take-off weight, except for those listed elsewhere in an Appendix to this Order as requiring a specific type or class endorsement
(which, btw, does not mean either a Victa Airtourer or CT4. They are
not listed elsewhere.)
I do not know of a single GA training school which would not have this on their AoC list.
Your answer in this case is an emphatic NO. It will already be on their AoC. The personal choice of the CFI or CP will be the deciding factor.
Further amendment (good ref, Nik): the personal choice of the CP or CFI as to amending the Ops Manual if required will be the deciding factor.