Place the carrots, ginger, oil, vinegar, soy sauce, and sweetener, if using, into food processor and process until a thick paste forms. Stop to scrape the bowl down, and then continue running the food processor, drizzling in a few tablespoons of water if necessary. (see Note)
Divide the greens among salad bowls and top with the dressing, followed by the oranges, cherry tomatoes, avocado, and scallions. Sprinkle with sesame seeds. Serve.
This is a thick dressing with some texture to it, so it won’t get completely smooth.