Preheat the oven to 400ºF.

Rinse the wings and drumettes, pat them dry and transfer them to a large bowl. Toss the wings with the vegetable oil, sesame oil, salt and pepper. Position the wings on a baking rack placed on top of a foil-lined baking sheet, spreading the wings into a single layer to ensure they aren't touching.

Bake the wings, rotating the pan half-way through, until they're fully cooked, 45 to 50 minutes. While the wings are baking, prepare the sauce.

In a medium bowl, whisk together all of the sauce ingredients. Taste and season the sauce with salt, pepper and additional crushed red pepper flakes, if desired.

Remove the wings from the oven and transfer them to a large bowl. While the wings are still hot, add the prepared sauce to the bowl, tossing to thoroughly combine. Serve immediately.

Depending on the type of peanut butter you use, you may need to thin the sauce additionally with more hot water. If the sauce is too thick, add 1 more tablespoon of hot water at a time until it reaches your desired consistency.