Your feelings and concern are common with LBH'S. But rarely does the WAW think/feel what the H fears she does. In other words, you almost afraid to be nice or show friendliness b/c you don't want her getting the idea you are cool with getting D.
Whenever the LBH has given so much resistance that there has been a long period of unrest between the couple, then yes, she could feel a sense of "relief" that you have stopped fighting her on the D. However, in many cases, once she gets past those first few sighs of relief to enjoy some peace for a change......then she begins to question herself. "Why is he okay with a D?". "Does he want to be free of me?". It is like she shifts gears and starts looking at you in a different light. If the H plays his cards right, he can turn things around.
I don't tell you this to cause you to analyze her every word, only to let you know it is okay not to fight her about the D. Resistance doesn't always work in your favor!
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!