Here's another one. Look at item 2 below, (highlighted in red).

RMB 6000 to 30,000 up to your experience and qualification.The more ESL experience
and qualification you have, the greater the offer.
Free accommodation/house allowance
Full paid holiday
Working visa
Annual flight reimbursement.
Requirements:
1. Native English Speakers from UK, US, Australia, New Zealand, Canada and Ireland;
Qualified others also considered.
2. No degree and teaching experience required.
However holding bachelors degree or higher , and with over 2 yrs working experience
prefer.
3.TEFL & TESOL or equivalent certificates holder.
Certified teachers in your country prefer;

You have overlooked item 1. It's interesting because it mentions native speakers of English from Ireland as being acceptable, along with 'qualified others' as merely worthy of consideration.

For those whose geography ain't the best, please allow me to clarify: Residents of Northern Ireland can obtain British passports. The other part of Ireland is Southern Ireland, aka the Republic of Ireland, whose citizens can obtain ROI passports, they are distinct from Brit passports. The ROI ain't considered a country whose native language is English by the Chinese govt!
In Wales, the Welsh have their own dying language, Welsh. In the ROI, the equivalent is Gaelic. In Scotland, it's another variety of Gaelic!

Now to 'qualified others' - white South Africans, or academics like Turnoi, or others, I dunno!

I think ROI should be approved as an English -speaking country by the Chinese govt, as well as South Africa, so long as South Africans can pass an oral and listening test!