Preheat a 6-quart air fryer to 350˚ F. Toss the chicken wings with the vegetable oil and 1 teaspoon each salt and pepper in a large bowl. Add to the air fryer basket in an even layer and cook until golden and cooked through, about 10 minutes per side.
Increase the fryer to 400˚ F and continue cooking until the wings are crisp, 5 to 7 more minutes.
Meanwhile, melt the butter with the hot sauce in a small saucepan over medium heat. Transfer to a large bowl and add the wings; toss to coat in the sauce. Serve with celery sticks and blue cheese dressing.