Future, just to clarify, the letter and pushing for S is a last resort -- the purpose is to get her to wake up and start pursuing you.
The reason is that if it doesn't work and she pushes forward, you back way off. You have your answer and are out of limbo. You will have a final answer.
On the other hand, and this is the case we all want, if she wakes up and wants back in, you're going to have to make her work for it. You have to switch roles and become the WAS and she the LBS. If you're worth it she'll work for it. If she doesn't then you will reach some clarity that this is not the kind of woman you want in your life.
I hope this explanation provides you with some clarity.