I think that's a mostly unofficial name owners gave the engine. As far as I know (I just checked the Aurion parts catalog for Australia), it was still a 2GR-FE, and the customizations were done by TRD Australia after the vehicle left the factory.
I did some searching and found a few VIN's for the TRD Aurion's in Australia, 6T153KK400X320823 came up a couple of times as a TRD Aurion 3500SL for sale, and I ran it through the EPC and it does come up as a 2GR-FE. It seems the vehicles still had the TRD S/C added afterward. The engine was not designated 2GR-FZE.
Jeff