Prepare the Oven: Preheat the broiler to high heat, approximately 550°F. Position an oven rack in the upper third of the oven.
Butterfly the Lobster: Carefully butterfly each lobster tail and place them on a baking sheet.
Season the Lobster: Brush the lobster meat with melted butter and season with paprika, garlic powder, salt, and black pepper.
Broil to Perfection: Broil for 7 to 10 minutes, depending on size, until the lobster is opaque, tender, and fully cooked.
Cool Slightly: Remove from the oven and allow the lobster to rest for 5 minutes before handling.
Chunk the Lobster: Remove the lobster meat from the shells and cut into large, generous chunks. Avoid chopping too finely to maintain the luxurious texture.
Make the Lemon-Chive Garlic Butter: Melt the butter in a the microwave for 30 seconds. After, stir in lemon zest, lemon juice, garlic cloves, chives, Old Bay seasoning, and flaky sea salt.
Reserve for Finishing: Set aside 2 tablespoons of the lemon-chive butter for serving.
Dress the Lobster: Place the warm lobster chunks into a mixing bowl. Pour the remaining lemon-chive butter over the lobster and gently toss until evenly coated.
Toast the Buns: Brush the outside of each bun with butter. Heat a skillet over medium heat and toast the buns until golden brown and crisp on both sides.
Assemble the Rolls: Fill each toasted bun generously with lobster. Spoon a little reserved lemon-chive butter over the top.
Garnish and Serve: Sprinkle with additional chives and serve immediately with fresh lemon wedges.