No, his credentials will not cause Conor to submit under any circumstances. His actual BJJ skills however probably can cause Conor to submit.
But seriously I do think if this hits the ground it's a very dangerous place for Conor to be with Nate. However Nate is not known for his takedowns and I doubt Conor will try to take it there. No one should sleep on Nates boxing, but I believe Conor is superior in that and all around striking. He will be faster, and better at combining his tools than Nate and I think he should TKO him.