Carefully brace a Microplane® grater over a medium-sized bowl. Start with a 1 to 1-1/2 inch knob of peeled ginger, and grate to measure 2 teaspoons. Next, grate fresh peeled garlic to obtain 2 teaspoons, about 4 - 5 large cloves, all into the same bowl.
Add the gochujang, oils, white wine, soy sauce and white pepper. Stir altogether to fully combine. Go ahead and taste it at this point (before adding chicken) and adjust to our preference, e.g. more gochujang, more soy sauce, pepper, etc.
Add the chicken and stir to evenly coat the pieces with marinade. Cover and refrigerate several hours, up to overnight.
Place an oven rack on the lowest position. Preheat the oven to 350°F at the "Convection Roast" setting if available. Setting the oven on "Bake" at 350°F will also work fine.
Line a large baking sheet with parchment paper (for easy clean-up). Remove the chicken from the refrigerator and place "bottom side up", spacing the pieces evenly apart. Place into preheated oven and roast (or bake) for 15 - 20 minutes. After 15 - 20 minutes, turn the pieces over and reset the oven to the "Broil" setting. Broil for an additional 5 - 10 minutes until lightly browned and cooked through. Cooking time will depend on the size and thickness of the chicken thighs.