Combine chicken, 3 tablespoons ponzu, 1 tablespoon soy sauce and 1 tablespoon sesame oil. Refrigerate for 15–20 minutes while preparing the vegetables and sausage.
Heat a large deep skillet or wok over medium heat. Add neutral oil if needed, followed by the sausage. Cook until browned and cooked through, crumbling as it cooks. Transfer to a paper towel-lined plate. Leave about 1 tablespoon rendered fat in the skillet.
Drain and discard the excess chicken marinade. Add chicken to the hot skillet in a single layer. Cook undisturbed for about 4 minutes. Flip and continue cooking for approximately 3 minutes.
Push the chicken to one side. Add 1 tablespoon butter and 2 cloves garlic. Cook until fragrant, then toss the chicken through the garlic butter and cook approximately 1 minute longer or until the chicken reaches 165°F. Remove from skillet.
Add onions and a pinch of salt to the skillet, adding a small amount of neutral oil if needed. Cook about 5 minutes, stirring occasionally while allowing them to brown.
Add remaining 1 tablespoon butter and 2 cloves garlic. Cook briefly until fragrant.
Add chopped cabbage and toss with the onions. Spread into an even layer and increase heat to medium-high. Cook for 10–12 minutes, stirring occasionally, until the cabbage is tender with caramelized brown edges.
Optional Wonton Noodles: While the cabbage cooks, bring a pot of water to a boil. Slice the wonton wrappers in half or into noodle-like strips and carefully separate every layer. Boil for approximately 2 minutes and drain. Immediately toss with soy sauce, chili crunch and fresh lime juice. Gently fold into the finished Dirty Cabbage.
Combine the chili oil sauce in a microwave-safe bowl. Warm briefly until the brown sugar dissolves.
Return chicken and sausage to the skillet. Pour the sauce over everything and toss thoroughly to coat. Taste and add additional chili crunch, ponzu or soy sauce as desired.
Serve topped with cilantro, sliced green onions, chopped peanuts and additional chili crunch.