The Ring, in the greater scheme of things, means NOTHING if the feelings aren't attached; something I learned during his crisis.
Usually the presence of the ring is a deterrent; but if you're truly married, it doesn't matter whether or not you wear it.
That wedding ring doesn't keep people from doing as they please.
My husband lost his first ring after the affair wound down; and I bought him another...he lost that one, too.
I was a little upset until the Lord showed me that it didn't matter; gave me what I know about wedding rings and instructed me NOT to buy him another until he asked for another, and he did, in time.
It was strange the changes he went through before he asked for another; said his finger felt "naked" without it. I gave him back the one he'd worn in the beginning of our marriage; and he's had that one ever since.
Many people measure their "success" by that ring; but, like I said, I came to understand that it didn't matter; just as a marriage license doesn't make someone be "married"; and just as divorce paper don't really mean someone is "divorced".
It is only a symbol, that's all.
That's my take on the wedding band.