Overwatch doesn't have a beta NDA.
It's worth noting the last two games on that beta service before we locked the thread were Watch Dogs and Assassin's Creed, so I'm guessing the game in question is For Honor or Watch Dogs 2 given what Ubisoft has that would be under NDA and ready for testing.
For Honor would make more sense in the context of the discussion about the beta moderator. Maybe it will have cross play? Or maybe Ubisoft plans on betting on the fact that multiplayer games seem to have the most success on console among Nintendo fans.