No, to work in a public or private post-secondary institute, you can not use a distance degree to get hired. You need at least a master’s degree where 8 months of the degree is spent on campus studying. Private companies can accept anything they want.
Just because a degree is on campus does not mean it is accepted. It must be from one of the schools listed on the Ministry of Education list. This list is in Chinese and the website is designed like it was done by a bunch of high school kids, but here it is.
edu.tw/EDU_WEB/EDU_MGT/BICER … ca/ca3.htm