My DH doesn't wear a ring unless it's a special occasion or we're going out on the weekend. He's a tradie, so wearing a ring during the work just isn't practical.
He lost the ring about 9 months after we got married and didn't replace it. It turned up about a year later.. But, yeah, he didn't replace it when it was lost, so if it hadn't have turned up I think he'd still not have one now.
I think you're probably reading too much into the ring thing because you have some other issues to work through. I don't think guys look into symbolism as much as we do