Honestly I feel that Jennifer Lawrence has too imposing and commanding of a presence in general, too dominant, to be any good as Jessica Joel or Jessica Christ. Both sides of the character are humble and soft in all ways. The actress would need to portray someone skittish putting on a brave face while walking calmly to their own public execution, while deep behind their mask they are horrified and wanting to run away screaming. I've seen Jennifer try that in the Hunger Games and she could never capture the fear side of the equation.
In a way I feel as though the role belongs to a breakout actress more anyway, since breaking out and claiming immortality is the entire drive behind the character.