There are quite a few manga set in a "world of moral reversal", where women are more socially dominant and sexually aggressive than men. It's an interesting premise, but I always wind up at least half frustrated by these stories. None of them really take the idea seriously.
This is most obvious in the failure to reverse clothing and the dynamics of sex appeal. Men in such a world should wear more decorative and revealing clothing (e.g. ballgowns & sexy lingerie), while women should dress like men do in ours (full coverage uniforms suggesting seriousness & importance). I mean, paying the one-night brothel fees of your soldiers before battle should be a perfectly ordinary request. And very few women should be attracted to a man like Faust. He has none of the qualities that make his gender attractive to the opposite sex.
I know it's silly to be bothered by such things in a lightweight isekai series. It's an escapist genre that isn't meant to be thought about. And for what it is,
Teisou Gyakuten Sekai no Doutei Henkyou Ryoushu Kishi is quite good. But I'd nevertheless love to see someone someday do real justice to the gender-flipped world concept.