Prep the vegetables. Shred the cabbages thinly so they stay crisp but easy to eat.
Julienne or grate the carrots, and slice the bell pepper into thin strips. Add everything to a large mixing bowl along with the green onions and herbs.
Toast the seeds and nuts. In a dry skillet over medium heat, toast sesame seeds and nuts until golden and fragrant, about 2–3 minutes. Stir frequently and remove from heat to prevent burning.
Set aside to cool.
Make the dressing. In a jar or small bowl, whisk rice vinegar, lime juice, tamari, maple syrup, tahini, sesame oil, neutral oil, ginger, garlic, and chili-garlic sauce. Taste and adjust salt, pepper, and heat.
Dress the slaw. Pour half the dressing over the vegetables and toss thoroughly. Add more dressing as needed to lightly coat; you may not need all of it.
Sprinkle in half the sesame seeds and nuts, toss again, and taste for seasoning.
Rest and serve. Let the slaw sit for 10–15 minutes so the flavors meld and the cabbage slightly softens. Finish with remaining sesame seeds and nuts right before serving for maximum crunch.