>> the sefardy poskim always viewed a shaitel as a big bedieved and a tichel as lechatchila
I looked at some images of Jews arriving from Iraq and everyone wears a kufiya, men and women.
Off-topic question – what is with Sephardim wearing black hats? Ashkenazim would wear it, ostensibly, not to honor Polish nobles, but simply to preserve the way they were told by someone, yeshiva students were dressing before. Sephartdim seem to be wearing them for the opposite reason of behaving like a community around them, that is for the opposite reason to the community. A paradox appears to be that Sephardim are more justified in wearing black hats …