Just to give everyone a definitive answer, I received this today from the CTTT:
In relation to the process to appeal a Tribunal order made following an appeal of an adjudication, the Strata Legislation (see Section 200 and 201) states that redress is available at the District Court. The advice in the Tribunal Fact Sheet is correct that the rehearing avenue is not available.
So you can appeal an adjudication by asking for a hearing at the CTTT, but if you are not happy with the outcome of that hearing, any appeal goes to the District Court.
Are we clear on that?