I think Superman beats Norinn in a straight fight. The possibility that Norinn could exploit his weaknesses evens it up some, but I think that the likelihood of it happening are overstated. It isn't enough to make Norinn the favorite overall.
I don't think Batman who suddenly gets Superman's powers is more effective that Superman. Superman has lots of experience with the powers Batman doesn't. But I agree that a Superman who has that experience, and has trained with Bruce's focus and dedication for his whole life would be even more effective, yeah.