Never had that issue when wrapping them. Normally do a full 3 hours of smoke and charcoal before wrapping with some bbq sauce watered down with cider vinegar. I think the idea is to conserve the fat that renders to coat them with when you eat them.I have not had good luck with wrapping ribs. I've tried it a couple pf times and they wind up super tender but tasting more like they were boiled than smoked. I do them at 225 - 250° for about 6 hours and let them rest about 15 minutes before digging in.
These are baby backs that were really thick, I think there isn't a lot of rib for the meat to pull back off of, but they are wonderfully tender, spicy with no "boiled" flavor or texture. I ran out of time, but I'd normally put these back on for an hour to crisp them up a bit....