Add all the wing sauce ingredients except for the butter to a blender or food processor and blend until mostly smooth.
Cook about 20 minutes on low heat to lightly simmer. Transfer to the blender again, or a deep bowl you can use a hand blender with, and blend again until very smooth.
Return to the pan along with the butter and cook another 10 minutes until it is sticky and thick.
Preheat oven to 500 or as high as it can go with convection. Alternatively preheat an air fryer on high.
Mix the flour, cornstarch, powdered sugar, salt, and cajun seasoning in a bowl.
Sprinkle the cornstarch mixture over the wings using a flour sifter or a mesh strainer to make sure there are no clumps and the wings are lightly and evenly coated. Flip the wings and repeat.
Spray the wings with cooking spray, or brush lightly with oil.
Add the wings to the oven on a wire rack, or to the air fryer. Cook 10 - 15 minutes, then flip and cook another 10-15 minutes until crispy, golden, and fully cooked.
While the wings are cooking, mix the sauce ingredients in a bowl. Stir well to combine.
Add the wings to the pan with the sauce, making sure any juices from the chicken is also added. Toss the wings in the pan.
Serve the wings with pickle chips and fresh dill.