1. Position a rack closest to broiler and preheat to high.
2. Brush tenderloins with oil and rub all over with five spice. Season with salt and pepper to taste. Lay pork on a broiler pan and, broil turning once, until golden and an instant read thermometer, inserted into the thickest part of meat registers about 150 degrees F. Set meat aside for 5 minutes before slicing about 1/3-inch thick.
3. Whisk vinegar with soy sauce, mirin, lime juice, and ginger in a medium bowl. Gradually whisk in peanut and sesame oils. Toss cabbage, radicchio, scallions, and bell pepper in a large bowl with 1/4 cup vinaigrette. Grate apple (with skin but not seeds) directly into slaw, and toss again. Season, to taste, with salt and pepper.
4. Slice pork and divide among 4 plates and garnish with some slaw and drizzle with remaining vinaigrette. Serve.
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