We are talking about the Skufia: A soft-sided cap and the Kamilavka: A stiff hat.
Why is the Kamilavka still worn if it's representative of muslim oppression?
Because many have no idea what they are about and from whence they came.
I have lulz at people scandalized by OC Priests wearing a Roman collar. One Ukrainian told me it meant the Priest didn't have children.
Another, Russian I believe, thought it meant they converted from RC. Never mind the fact that the rules governing the wear of clergy on the street in some jurisdictions suggest "normative" wear of a typical American clergy member.
Since those rules were established when many clergy even outside the RC wore the "Roman collar", the OC Priests followed suit under the obedience of their Bishop.
Get into a discussion sometime about vestments, "headgear", and "street wear" for an OC Priest sometime with Fr. Thomas Hopko, he has some rather strong, well educated opinions informed by history and little "t"s. In person, that subject and the treatment of icons are what I have seen him most passionate about on a conversational level.
His take on icons gave me great pause, since many of his criticisms made a lot of sense and fit unfortunately the treatment of icons at my parish at times.
He made a podcast recently about it, something like "Iconodules are the new Iconclasts".