I am curious as to why it wouldn't fit? I used to use an Eskimo auger quick release on my old Strikemaster Lazer auger and it fit just fine. I believe both companies power auger shafts are 22mm and their hand augers are 18mm. That NDA 3 adapter is designed to fit both 18mm and 22mm I believe.
Edit: the only thing I found was that the bolt from the Eskimo bit might be slightly to big to fit through the NDA 3 adapter.