Pretty cool to renew your vows AND rings though!
My ring was designed with the stone set in the band because of riding/gym/generally being active (diamond set in titanium). It never caused any issues. It was too big at first but I had it sized and there was no risk of it coming off. I’d say correct size is key. Past tense because somebody (not me) cheated - it has been much harder to get used to not wearing it than it ever did to wear it.