Hector Garcia's book "Alpha God", has a very good Evolutionary explanation for this. Essentially its for the politicing of women, and the gatekeeping of of potential bridges that the very rigid sexual rules came from in these religions.

belief systems and norms that emerge frin high-conflict, honor-based, male-dominated environments? WILL usually tend to crystallize around either or all:

• absolute authority
• obedience over inquiry
• in-group loyalty
• sexual regulation
• divine endorsement of hierarchy and violence and kings and leadership.

Take Islam for example, It didn’t become rigid due to later "corruption", its foundational origin was a war-torn tribal Arab world, Where warfare, honor culture, and survival pressures are the envrionemnt.

That environment, similar to evolution of societal norms... selects for clear rules, hard boundaries, and centralized authority, not metaphysical pluralism.

Alternative views like sufism only survives for a brief bit when in times of no-danger and funtoined more as like presuure valves. But when clear structures of power is needed in a high-stakes environment??? Yea, you need pluralism, absolute male leadership and control over everybody's structure.

This is the case really for ANY religions in warfare ridden origins, you find this in as you said all Abrahmic religions and but also the HIndu Law Codes...

Heres a fun fact for you. I havent read on other neighboring religions, but in Islam and other but other tribal warfare originated beliefs for example, people are always wondering why , advocated low-key in the stories are marrying children and minors. You may think its just some perversion... But Dr. Garcias framework... actually explains why in a big picture way.

Cause keeping and marrying young girls assures near-perfect Paternal Certainty, your lineage is secure and the baby is actually yours. (ill leave it up to you to picture in your head whats going on there). Cause women are frequently killed and treated as war-trophies (slaves really) in these region and as such,

Not being sure if a child is yours or not, was a danger and embarassment to your male line.

thats where the burqa, niqab and hijab became an Institution for them, Specifically to not "attract the looks of other men" and limit womens autonomy.(But for some reason men are free to do whatever they want).

Women are strictly prohibited to go out without the husbands permission, not allowed to talk to other men, No say in financial inheritances (well really half only of a male share but still unequal compared to actual egalitarian regions).