The TRD tires were probably BFGoodrich Rugged Trails as opposed to the Dunlop Grandtrek regular tires. The Rugged trails do have more more agressive tread and are a slightly larger size. The Rugged Trails are decent trail tires but they are not sought-after as replacements.
The Grandreks or similar handle many types of trails well, especially if you have the electric rear differential locker. I would certainly try them on the types of trails you like to use and see how they do. Replacing tires is expensive--I would only swap them out if a change is really needed.
If you decide you do need a more trail-biased tire, there are many tire choices that would likely be more satisfying than the Rugged Trails. The BFGoodrich All-Terrain T/A, Yokohama Geolander AT, General Grabber A/T, Kumho Road Venture AT and similar tires have better trail grip than the Rugged Trails while maintaining good road handling characteristics.
You could also go with a radial mud tire for even more aggressive tread. Tires such as the BFGoodrich Mud-Terrain KM or KM2, Goodyear Wrangler Duratrac and others are very well-suited for off-road conditions and are still fairly quiet and well-mannered on the street.