What makes you so sure that W doesn't care? I think if she says that she does, you need to take her at her word.
Have you read "Divorce Busting" or "The Divorce Remedy" or just "The Sex Starved Marriage". Think you need to read one of the other two to get a balanced view.
I think that most of the time, sex problems are more about communication and not feeling loved than about just sex.
I think moving down the hall will just cause more problems. Might cause more of a rift between you. Just my opinion...