Women prefer a certain type rule

This is very deresponsibilizing though. I don't think you can explain mass phenomena with it. To me it seems more reasonable to conclude that gender is not that relevant here and that social conditions, education, family upbringing etc. are.

how much they have been manipulated since childhood to be against their own autonomy

And how do you explain poor people voting against their economic interests, immigrants voting for xenophobic parties etc.? I don't think that individual abuse can be used to explain every case, it feels as a way to rationalize something you can't justify otherwise (e.g., it's unimaginable how a woman would vote against her own autonomy). I do believe that everyone in a way is a victim of some kind of influence, marketing, societal pressure, class violence, different biases etc., but we need to draw a line at some point for people to be responsible for their shitty ideas.

To make an example, an immigrant who went through a tough immigration process, with all the anxiety and insecurity it caused, and finally managed to make it is probably going to suffer heavily of survivorship bias and it's not impossible they will be xenophobic against illegal immigrants and perhaps will even vote for whom proposes harsher immigration policies. You can argue that society abused them etc., but they are still responsible for their ideas.

So my point is that I don't disagree with you, but we can find exogenous reasons for why people have shitty ideas in all cases. Doing so though we deresponsibilize the individual from checking with themself and reflecting on their own positions. I think it's fair to consider that some people simply have shitty ideas, are greedy, selfish, racist, classist, or whatever else, without necessarily trying to trace back those ideas to some external factor.