I'd prefer Ulster here, it fits best to what is written. But whatever they say in the link you've given, they don't pronounce it as she did here.
If you search the discussions here, you’ll find many comments on the quality of the pronunciations in this course. My advice would be to trust the pronunciations at teanglann.ie over the ones here.
EDIT: The new recordings here (from late April 2016) are better than the old ones.