should white people wear traditionally african american hairstyles?

At the end of the day the whole notion of "cultural appropriation" is manufactured nonsense, just as the idea of "race" is only a manufactured social construct (since melanin levels have only been influenced by however much ultraviolet light our ancestors received at high versus low latitudes over thousands of years)

Anyone of any hue should be able to do whatever they like with their hair (of course, don't expect it to fly in every given employment scenario), to cook any cuisine they wish, etc.

While I myself might still be a bit skeptical if going into a Chinese restaurant staffed with 100% Caucasians ("oh my, this lacks 'authenticity!", I still think a Karen with nothing else to be pissed off about invented the idea of "cultural appropriation" so they could rage once more

Now perhaps the past practice of casting Caucasian actors to portray Asians or Africans is more troubling, but maybe that is really dependent upon the specific context of the specific history of a specific society where it happened, and perhaps in another part of the world, even a light-skinned person darkening their face with makeup would have no racial connotations