I guess I want to stay in contact with XW because I still love her. It's hard for me to imagine that question without those feelings involved.
So far I've stayed cordial and responded lightly. I just don't understand why she keeps the sleeve tugging after a full year of not wanting to talk. Part of me just wants to shut the door on the whole thing so I'll never have to deal with her again. The other part says I can take the high road and she'll eventually fade from my heart.
I can tell you exactly what would happen if I invited her over for dinner. She'd say, "That sounds nice, so yes." And then the day of, she'd email saying, "I got some critical responses on my paper today so I feel like I should work on it tonight, so I have to cancel" or "I have a late meeting and I anticipate being tired afterwards so won't be able to make it." I know because she's already done this many times now, not recently but in the past year.
Okay, this is getting whiny, but you get the idea. Guess it's never clear - keep your bubble in the middle, I like that.