It was the same with NZ: no online option for a TR visa. I delivered documents in person (didn't trust couriers with my passport in the run-up to Christmas) and provided everything they asked for, yet still they wanted one more document. 😕
It was fairly quick and a bit cheaper, but I'll probably just do an exempt entry next time... 🤔
back in the day I could get away with waving an Expedia itinerary around, or booking and then cancelling within 24 hours. I've not tried ticket rental but people say it works.