I would not think of it as lies. I look at change, as much as I don't like it, and know it has to happen; people have to die, go away, get sick, feelings have to change, thoughts and opinions change, etc. We don't "arrive" at a feeling or state in life and that's it, we are done and where we'll stay.
I think it was her inexperience (in being a therapist as well as with you) that maybe made her less than careful about meaning behind her wording of things. Like she says, you cannot hold her hand forever. She cannot come and go when you want her to, you cannot control her.
I would take her initial wording to mean,
if it were possible, you could hold her hand forever. The intent is she knows you enjoy holding her hand and she wants you to feel good and be healthy; however, when she no longer believes holding your hand helps you, then she is going to have to change her behavior (because you have not/won't change yours and it is unhealthy to you or her to continue with that behavior at this time).
I married my husband because I laid my head against his chest one night and asked if we could stay like that forever and he answered "Yes" :-) Don't take the wording so literally, take the idea behind the wording to heart. It's a metaphor of sorts?