In a small bowl, whisk together cornstarch and 1/4 cup water; set aside.
Heat sesame oil in a large stockpot or Dutch oven over medium heat.
Stir in garlic and ginger until fragrant, about 1 minute. Stir in turmeric and pepper.
Stir in chicken stock. Bring to a boil; reduce heat and simmer until flavors have blended, about 5-10 minutes.
Stir in cornstarch mixture, stirring frequently, until slightly thickened, about 3 minutes. Stir in rice wine vinegar and soy sauce.
Reduce the heat to low. While stirring the soup, gradually add eggs in a slow steady stream. Cook until the eggs are set, stirring frequently to create ribbons, about 2 minutes.
Serve immediately with wonton strips, garnished with green onions, if desired.
For the crispy wontons
Heat vegetable oil in a Dutch oven over medium high heat. Working in batches, add wonton strips to the Dutch oven and fry until evenly golden brown and crispy, about 1-2 minutes. Transfer to a paper towel-lined plate.
Notes
Make a cornstarch slurry. Adding cornstarch directly into the soup can cause lumps. Always use a mixture of cornstarch and cold liquid (aka cornstarch slurry) to thicken the broth, stirring constantly to avoid clumps.
Turmeric has many purposes. Turmeric provides a subtle peppery note while also adding a rich, vibrant yellow color to the soup without adding food coloring.
Use good-quality stock. The better quality your stock, the better your egg drop soup. Many brands love to pack in the salt so always opt for unsalted or a lower-sodium variety. Homemade stock is even better.
Use reduced sodium soy sauce.Reduced sodium has less sodium and less salt without compromising flavor.
Lower the heat. Reduce the heat to the lowest setting before adding in the eggs in a slow, thin stream. A rolling boil will scramble the eggs instead.
Cut wonton wrappers into strips. Using a sharp knife or pizza cutter, cut the refrigerated wonton wrappers into strips, about 1/2- to 3/4-inch thick.
Cook in batches. Fry the wonton strips in batches to maintain a consistent oil temperature and to avoid an overcrowded pan, giving them an extra, crispy, crunchy texture all around.