I doubt Lisbon will give up having the type of relationship she has with Pike for Jane without there being sometype of sign from Jane that not only is he serious in what he is saying but that he is serious about wanting a future with her. Which I believe would be hard for Jane to do, since he’s already lied once about saying ‘love you’ to her and he has been shown to know just what to say to get Lisbon to think that he’s being serious enough to effect her judgment. Ie when he left her on the cliff. I mean without some type of proof that he’s being serious, Lisbon could end up thinking that Jane is just saying that stuff to get her to change her mind and doesn’t really mean what he says.