Place wings in a large bowl. Add 1 tablespoon seafood seasoning and massage into wings until evenly coated. Add cornstarch and toss to coat. Place wings on a baking sheet and let rest for 10 minutes while the grill is preheating.

Preheat an outdoor grill to 500 degrees F (260 degrees C) and lightly oil the grate.

Place wings directly onto the grate of the preheated grill and cook over indirect heat for 10 minutes. Flip the wings and cook 10 minutes more over indirect heat. Transfer wings to a baking sheet to rest.

Meanwhile, melt butter in a small saucepan over medium heat. Add remaining 1 tablespoon of seafood seasoning and cook until seasoning is incorporated into the butter, about 3 minutes.

Place wings in a large bowl. Drizzle seasoned butter over the wings and toss to coat. Serve immediately.