If the lamb is not already tied, tie it with linen kitchen twine at roughly 1-inch intervals so it keeps an even shape.
Set the lamb in a stainless-steel, cast-iron, or enameled cast-iron roasting dish, on a rack if available. Put the fuller fat side up.
Put the sea salt, powdered rosemary, ginger or black pepper, and optional garlic powder on a dinner plate. Stir until evenly combined.
Rub the measured spice mixture over the top, bottom, ends, and sides of the tied lamb so the coating is even.
Leave the seasoned lamb at room temperature for 45 minutes to 1 hour. About 15 minutes before that time is up, heat the oven to 400°F.
Roast until a thermometer in the thickest part reads the chosen source target: 115°F rare, 125°F medium-rare, or 135°F medium. Plan about 45 to 50, 55, or 60 minutes for a half leg; about 70, 80, or 90 minutes for a full leg.
Tent loosely with parchment paper and rest for 20 minutes. The source expects about a 10-degree carryover rise during this rest.
Move to a wooden cutting board, remove every piece of twine, slice against the grain, and scatter with the optional fresh thyme.