If the lobster tails are frozen, ensure they are fully thawed before beginning the process. Preheat your oven broiler to the high setting and position the oven rack approximately 6 to 8 inches below the heating element. Line a sturdy baking sheet with parchment paper or foil for easy cleanup.

Using sharp kitchen shears, carefully cut down the center of the top (hard shell) of each lobster tail, starting from the thickest end and stopping just before the tail fin. Be cautious not to cut through the meat itself.

Gently pry open the shell where you cut it. Use your fingers to loosen the meat from the inside edges of the shell. Lift the lobster meat through the slit you cut, keeping the very end attached to the tail fin. Lay the meat over the top of the shell, creating a 'piggyback' presentation. Place the prepared lobster tails on the baking sheet.

In a small, microwave-safe bowl or saucepan, melt the 6 tablespoons of butter until fully liquid. Add the finely minced garlic, lemon juice, smoked paprika, sea salt, and black pepper to the melted butter. Stir thoroughly to combine all the ingredients.

Brush approximately half of the prepared garlic butter mixture evenly over the exposed lobster meat. Ensure the butter coats the meat completely. Reserve the remaining half of the butter mixture for basting during and after cooking.

Carefully slide the baking sheet into the preheated oven on the designated rack position. Broil the lobster tails for a total cooking time of 8 to 12 minutes, depending entirely on the size of the tails. (Aim for 10 minutes for 8-10 oz tails.)

Halfway through the cooking time (after about 4 to 6 minutes), carefully open the oven and baste the lobster meat with another generous portion of the reserved garlic butter mixture. Watch the tails closely during the final minutes to prevent scorching.

The lobster is fully cooked when the meat is opaque white throughout and the internal temperature reaches 140°F (60°C). Remove the tails from the oven immediately. Brush the hot, broiled lobster meat one last time with any remaining garlic butter mixture, transfer to serving plates, and sprinkle generously with fresh, chopped parsley. Serve immediately with extra melted butter on the side for dipping.