two completely different things, Islamic countries are totally different than each other
Turkish government is based on secularism, the current regime in Iran (The Islamic Republic) is based on Islam (I mean their own version of Islam which is different than any other country)
OK I have to give you a long answer, let me explain the basics of the situation in Iran
since this regime came to power in 1979 (after toppling the previous bloody dictator) they made a rule forcing women to cover their hair/body/curves etc. they also stopped women's sports completely at the time.
during all these years women fought hard for their rights, LOTS of things changed since then, if you walk in Tehran nowadays you see lots of women walking around with nothing on their head. for now the regime has other problems to deal with, and let that go. (not sure if that's forever or just for now) you also can google 2022 Mahsa Amini protests, that's the worst protest this regime had seen so far.
as for the women's sports, that started in 1990 with Shooting (the sport with less movement) then Canoeing (another sport with less movement) and slowly other sports joined the club. right now every Olympic sport is active here (except boxing and wrestling) some of them like Swimming doesn't participate in international competitions for obvious reasons though.
if you watch Iranian women in any sport, they have a very loose Hijab, just something on the hair to satisfy the government. women here came a very long way to be here. bcz if we look back at 1990, that shooting team at the 1990 Asian Games had to participate under something called "Chador" (you can google it, that's super religious)
so what will happen next? I don't know. as long as this delusional old man lives I don't expect much more. women for sure will fight for their rights, not sure how much more they can gain from this old man. but after he dies finally (he is 86) we can go in a very good direction or maybe in a very bad direction (North Korea way) or even worse . it's just unpredictable. lots of good or bad or even worse scenarios can happen in that important day.
and yes there are some political forces here pushing for such things more or less but they don't have the power. that old man does and he is taking the country down with himself.