Heat 1 teaspoon oil in a nonstick skillet over medium heat. Add garlic, ginger and red pepper and saute until the garlic begins to brown, about 1 minute. Add vinegar, 2 tablespoons honey and half of the papaya; cook until the papaya starts to fall apart and thicken the sauce, 6 to 8 minutes. Add the remaining papaya and roasted red peppers and cook until the salsa is just warmed through. (Do not overcook; you want to preserve the diced raw papaya texture.) Season with lime juice, salt, black pepper and additional honey, if desired. Remove from the heat and set aside.