This thread has had uni jobs requiring masters only
One poster on the thread said that getting a uni job in Taiwan is the ‘holy grail’, and although clearly not everyone is interested in the work/responsibility vs. pay/advantages, it seems enough people are that it helps to have some connections or a shiny CV, so high school may be the safer bet (especially if you have a teaching license).
My uni job only required a masters in the advertisement, but I think having the doctorate almost finished helped set me apart from other applicants. That said, my plan before getting this job was basically @oneofdaroughs’ suggestion; I was looking for buxiban jobs in order to get to Taiwan, and expected to spend a year going door-to-door with a nice tie and a stack of CVs until some university offered me a job.