I suspect some "behavioural differences (such as sex offenses disparity)" may align more with possession/lack of testicles (and associated endocrinal differences, maybe?) rather than particular kinds of brains.
This is such an obvious point it is worth investigating why OP and others seem to miss it. Why the concentration on brains rather than other parts of the body? Or, perhaps, other aspects of a person?
Yes, this has been addressed.
Start, perhaps, with a look at Neurosexism, Neurofeminism, and Neurocentrism: From Gendered Brains to Embodied Minds (Claus Halberg, Nordic Journal of Feminist and Gender Research, 2022), in which the author investigates possible conceptual confusions which may underlie the "tendency ... to exaggerate cognitive, emotional, and behavioural sex differences and to pin gender stereotypes on allegedly innate sex differences of brain structure and function."
Key to Halberg's development there is the so-called 'mereological fallacy', adumbrated, particularly, by Bennett & Hacker in their book Philosophical Foundations of Neuroscience (Blackwell 2003).
This is probably a bit tricky, just off the bat, as it were. But, anyway, OP, try to consider the first question I asked above: what might lead you to think of the brain, rather than the sex organs, as determinative of "behavioural differences (such as sex offenses disparity)"? - Might it be something to do with what Claus Halberg describes as "how neurosexism assumes neurocentrism"? (Op. cit.)