

You can though - at least to the extent that we in empirical science usually refer to “proving” or “disproving” (or rather, indicate or contraindicate a hypothesis). In this case it’d be studies/metastudies on injuries in different kinds of matchups (which can either show a statistically significant difference or not) or in performance of different athletes.
The case you linked here is regarding football, not boxing, which simply makes it a question of performance rather than also safety (as it is with boxing or other combat sports). The key difference in judgement here is the same reason that there are weight classes - simply wouldn’t be safe (or fair for that matter) to match up a 120kg vs a 60 kg athlete - the latter might literally get killed.
Performance wise, the most “fair” might be to sort athletes into leagues based on testosterone levels. It’s already known that higher testosterone levels tend to correlate with higher performance, so rather than imposing an arbitrary limit where only the athletes in the “sweet spot” just below the limit get to excel, grade them into brackets based on that. Women’s sports were established in the first place to give women a fair chance at competing, since male vs female competitions in the vast majority of cases end up very one sided.
I think you’re being sarcastic here, but there is a trend in that direction, with paralympics and such. It all comes down to this. How is the protected class of athletes defined? If a space for female athletes is going to exist at all, there needs to be some definition, which inevitably is going to feel arbitrary to some. The one they’ve gone with excludes males and most intersex individuals - allowing a little wiggle room here for folks with XY who have no male testosterone production which medically speaking makes it into a “woman at birth with low androgens” competition since those people will usually have a female phenotype at birth.
In the case of Imane - it may speculatively (after now reading a little about the circumstances and the “leaked” results) be a case of XY intersex with some kind of androgen dysfunction, either through reduced production via enzyme deficiency or partial insensitivity to testo. Being from a less developed country it’s quite possible that Imane wouldn’t even be aware of such a condition until it came to light due to the testing, and even if it was noticed earlier by Algerian medical professionals it may have been hidden from the patient due to how controversial intersex individuals are in traditionally muslim countries. This was the case for a long time even in the west, some countries even into the 2000’s - “in the best interest of the patient”. Quite tragic really.