I'm so sorry to hear that your experience of men has been so negative. You say that you have no trauma but you've obviously been surrounded by lots of incredibly misogynistic men and you seem to have reached the conclusion that all men are inevitably like this. It would seem that you have normalised the behaviour of the shitty men around you and extrapolated from that to believe that men are just like that and this can never change. Of course, lots are still like that, but it really isn't as inevitable as you seem to think. Your own experiences are just that... your own experiences.
I've travelled a lot as well, and I've lived in several countries, including one majority Muslim country where it was normal for women to cover up. I always dressed in accordance with the local norms and sadly, it didn't prevent me from being sexually assaulted. I received a lot of support from local women, many of whom told me that they had experienced similar. It was clear that their way of dressing offered them no protection. I did not report the incident and was not encouraged to do so.
My DH comes from a different country, not a Muslim one but one where women tend to dress "modestly" for cultural reasons. Women are certainly not safer in his country than in the west. Quite the contrary, to be honest. Their "modest" dress and relative lack of freedom appears to offer them no protection at all, and I would feel quite unsafe there on my own.
In societies where women are encouraged to dress "modestly" and where their freedom is limited, there tends to be a strong culture of shame around rape and sexual assault because there is still so much victim blaming. It is inevitable that women will feel less empowered to come forward to report their experiences because they know only too well that the finger will be pointed right back at them, and that they will be blamed and shamed for the crimes that were perpetrated against them. So it's hardly surprising that the stats will be lower in some places, but you're kidding yourself if you believe that this means that women are safer in those places. It simply means that they are less likely to seek justice.