Wearing a ring is a personal choice. No one can answer that for you. Whatever you do, do it for YOU. It is very unlikely to have any affect on W, so it is pointless to take it off just to get a reaction.
If you take it off, are you ready to explain to friends and family that ask why?
I personally have debated the ring issue with myself many times since my situation started. Sometimes I want to take it off just to show her I am not happy as thongs are. Other times, I want to take it off because I just don't feel married.
As recently as last weekend I had the urge to take it off, first time in ages. But for now I keep wearing it. My choice.
But we the lbs make such a big deal over the ring. I am not belittling it's significance and symbolic meaning. But I know people who wear a ring and cheat and some that don't who do not stray.
R 25 years M 14 years S11 & S13 Working on it alone since Oct 2014 M in trouble a lot earlier (~2 years) Feb 2016. 1st R chat in a yr. Next R chat Aug'17 Still together