What all these statements (your WAW's) mean in terms of romantic psychology is that she loves you but is not currently ATTRACTED to you.
That is also the meaning behind the dreaded "I love you, but I am not in love with you" (being/falling 'in love' is nothing more than a misnomer for being/becoming highly attracted to someone else romantically). It is also the very same cause of a phrase (seen posted by several WAWs here) like "I don't have the desire, the passion, or the spark to want be with him."
LOVE is a choice and love is manifested by ACTIONS ("love is patient, love is kind, love keeps no score of wrongs..."). A person can LOVE anyone they choose to irregardless of whether or not they are attracted to them in a romantic way. ATTRACTION is a biological, involuntary euphoric feeling that drives one to seek and obtain greater physical intimacy with someone else. The difference between a close romantic relationship and a close platonic one is the presence/absence of ATTRACTION (both R's involve "love") respectively.
What does this have to do with a WAW and Db'ing? A WAW has lost her attraction towards her LBH (i.e. "fallen out of love"); she doesn't feel like she used to towards him and she is confused, angry, and scared by that. 99% of the time, she has NO IDEA how to "recover", believes such recovery of feelings is impossible, and doesn't want to hear (much less do) that which must be done to make those "warm and fuzzy" feelings possible again. That is why WAWs say things like "it's too late now" and "we can be friends".
There are 3 elements which are needed to make re-attraction possible: 1) Emotional openness--this involves forgiveness and a voluntary dismantling of "walls" 2) LBH presenting a "new" and far more attractive package than the one the WAW has ingrained into her head over the last few years--this is where DB'ing/GAL'ing comes in. The LBH must become that strong, leading, alpha-male he was when she first was drawn to him. Very hard to appear that way when we as LBH's are crying, pleading, begging, criticizing, fixing, etc. 3) Time together--actions PRECEDE feelings and she will never get her "feelings back" by avoiding emotional/physical conversation and time spent together doing enjoyable things. She will also never have the opportunity to see, much less believe, the "new" you in #2. She MUST participate in this and find herself enjoying spending time together a little at a time...if she avoids all contact and continues to persist in just "hoping" her feelings will return, she will eventually conclude that "she tried, but it didn't come back--it is a sign that we are truly done."
It is easy to see why 'trial separations' don't work and serve no purpose other than giving both parties a chance to clear their head and DO SOMETHING DIFFERENT. It is also easy to see that, despite whatever LBH's mistakes were in the first place, the WAW makes true reconciliation even more difficult by confusing her feelings (or lack thereof) with evidence that the M is doomed or should never have happenned in the first place. FEELINGS are merely a symptom of the M's problem, not evidence or proof of a M's failure, incompatibility, or hopelessness (which EVERY WAW has). Feelings are elastic NOT static, but usually the WAW assumes the opposite (esp. if the LBH does not change in a more attractive way) and chooses to let her feelings guide her right out of the M. Obviously, her having new feelings for a OM only make this prospect all the more appealing...