I imagine the ring was accidentally folded inward and setting along the underside of the seat or possibly setting right against the fender, rather than dangling outward. I doubt that it is wedged. The ring will take a bit of snaking to pull it to its normal, still nearly inaccessible, outward extension. If that doesn't work, then go to the torch. As an added aid, add a leather fob to the ring for an easy pull and always have the fob in your finger tips when replacing the seat.
1. Snake your short 4-5 inch coat hanger section with a minimum 1/4" hook opening in at the center of seat strap no more than 2 inches, then angle the hook forward about 15 degrees or less.
.If keeping a feel for which way is up, bend a small L in the opposite end from the hook.
.Before forming the hook, wrap the hook end with a single round of electrical tape to avoid paint scratching. If it is setting against the mud guard you want the rough cut hanger hook tip protected against scratching the guard.
.The inside diameter of the ring isn't more than an inch, and about 3/16 thick (hence the 1/4" hook opening).
. The hook length must be rather small, 1/4-3/8"; but not much more, for best chances of stabbing and grabbing into the center.
.The ring may be setting along side the rubber bumper (stand off) though I doubt it.
.You can not pull it forward against the bumper and expect any joy.
2. Roll the hook 90 degrees upward to engage the ring then withdraw rearward slowly. It should easily rotate into proper position.
.The aft circumference of the ring sets nearly on the centerline of the strap or perhaps a tad forward if its up against the bumper.
.Take it slow and easy, and keep your head down

BTW, specification on this high tech tool has no patent pending, yet
