I don't know "for sure" ... but, I would expect it to be iced over in many areas. Outflow is only 50cfs, so there's not much in the way of current to slow down surface icing. It may not be thick, but it would still be enough to damage a fiberglass boat, I would think.
Green has ice, Barren has ice, Ky & Barkley have ice, Reelfoot has ice, Cumberland has ice ... so it would not surprise me if T-ville does, too.