I am not sure about the no lying part - I am sure they will explore this more. I think the obligation to honor his word with the shrink is tied to the devil’s bargain. When you make a deal with the devil, he will keep his part of the bargain no matter what - at least to the letter of the deal/law.

I thought Banner was the villian that eats old man logan at the end of the series and he cuts his way out of him. Am I wrong here? I read it a long time ago.