Combine soy sauce, sesame oil, honey, grated ginger, minced garlic, lime juice, and black pepper in a small bowl; whisk until the honey is fully emulsified.
Place tuna steaks in a glass dish or food-grade resealable bag. Pour the marinade over the fish, ensuring even coverage. Refrigerate for 30 minutes.
Place a heavy-bottomed cast-iron skillet over high heat. Heat the skillet until it reaches the smoke point.
Remove tuna from the marinade. Pat the exterior of the steaks lightly with a paper towel to remove excess moisture for an optimal Maillard reaction.
Add the neutral oil to the skillet. Once the oil shimmers, place the tuna steaks in the pan.
Sear for exactly 90 to 120 seconds per side. The goal is a 1-2mm seared crust while maintaining a cold, pink-to-red center.
Transfer steaks to a room-temperature plate or cutting board and allow to rest for 2 minutes to stabilize internal juices.
Slice into 1/2-inch thick strips against the grain. Garnish with toasted sesame seeds and sliced green onions.