They do those sort of things. Another one is to stop undressing in front of the H.
Your best move is to totally ignore it. Stop trying to keep up with where she lays her ring. If you see it on the counter, leave it there and say nothing to her about it. Do not ask if she's stopped wearing it, or any other questions. Mark it down as one the crazies, and move on.
This is what happened to be, she almost never took her ring off, but she did stop being nude because she said she felt like she was undressing in front of a stranger. We "weren't close" anymore, and she wouldn't undress in front of a stranger, so why would she do it in front of me? A couple times I came home (before the strict separation), and she's just be getting ready upstairs and she'd go running off to wrap a towel around her, or robe, or something. It's hurtful to experience, not because I don't get to see her beautiful body anymore, but it's a form of rejection in that 'you're no longer welcome here'.
I'm sorry to hear that. That has to hurt you. In my sitch, we definitely don't see ourselves as strangers now, we both know eachothers bodies too well. Every situation is different I guess, stay strong.