You're conveniently designating Banda and Semenya as male for having male-typical testosterone levels, ignoring their sex characteristics, chromosomes, other hormones, etc. You specifically refer to them as "males". So, they should use only male bathrooms, right? That's JKR's whole thing, and earlier you said:

> women and girls need single-sex spaces

It follows that you should designate a person with female-typical testosterone and estrogen levels as female, whether or not they have XY or similar chromosomes, a penis, etc. Those people should then use female bathrooms, right? Including trans women taking hormonal treatment? And those trans women should be able to compete in women's sports, since they pass your hormone test?

Or maybe, just maybe, sex is more complicated than that.

I also wonder how women with minor hormone irregularities feel when people like you dismiss them as men in denial.