https://centreforaviation.com/analysis/reports/taiwan-australia-china-airlines-eva-opposing-strategies-427413 said:
Qantas is growing its Asian footprint, but not to Taipei, Seoul or Kuala Lumpur
In the Taiwan-Australia market the only nonstop capacity is from China Airlines and EVA Air. Virgin Australia has recently entered the Asian market but is only serving Hong Kong, the hub of Hong Kong Airlines – part of the HNA Group, and the strategic and equity partner of Virgin Australia. Virgin Australia has mooted plans to serve mainland Chinese cities (such as Beijing) in partnership with HNA units, but Virgin has been stymied by slot access. Virgin Australia is all but certain not to serve Taipei.
Qantas has been significantly expanding in Asia, adding seat capacity and frequency to existing destinations. Qantas has also launched new cities or resumed service to previously served cities, including Beijing and Osaka.
Notable major Asian destinations that Qantas (or Jetstar) do not serve nonstop from Australia are Seoul, Kuala Lumpur and Taipei. Seoul would have been a contender for new service but instead Qantas has resumed Osaka services. Kuala Lumpur is too saturated with AirAsia X and Malaysia Airlines (and Qantas codeshare operated by Emirates). Qantas codeshares with China Airlines, but Taipei is likely too small a market for now.