Make seasoning mix: Combine paprika, black pepper, chili powder, seasoned salt, cayenne pepper, onion powder, garlic powder, white pepper, and mustard powder in a bowl. Mix well.
Cook chicken: Heat 2 inches vegetable oil and peanut oil in a deep cast iron pot or heavy pot over medium heat to 300 degrees F (150 degrees C). Dry chicken wings thoroughly with a paper towel.
Fry chicken in 2 batches in hot oil, 4 to 5 minutes. Drain on a paper towel-lined plate.
Increase oil temperature to 350 degrees F (175 degrees C). Fry chicken in 2 batches in hot oil until skin is crispy and golden brown and meat is no longer pink in the center, 5 to 6 minutes. Drain on a paper towel-lined plate; transfer to a large bowl.
Sprinkle seasoning mix over chicken and toss to evenly coat.