I am sure it is NOT going to be Harper’s 8 person self reported study
Indeed, Harper's review own published this year corroborates Hilton's and basically obsoletes that - there is a mass of evidence that lowering testosterone does not eliminate the benefits of a male puberty.
Which is why Harper was reduced to arguing on the radio the other day that men with lowered testosterone don't have "too much" of an advantage.
The argument that was mustered was that after lowering testosterone, their average performance may be closer to female average than to male average, so they should compete in the female category. (Except maybe weightlifting, was conceded.) Eliminating half the advantage should be the goal was now the claim.
Although it's far from clear that half the advantage is eliminated for most sports, and having half the male advantage is still HUGE at competitive level.
(And note that we're only talking average performance reductions here - for a lot of individuals there is hardly any performance loss, according to the studies! Basically you'd be in a situation of selecting for males who respond best to testosterone suppression.)
Harper is somewhat out-of-depth here, being a scientist. You're going to need a philosopher of bullshit to make these arguments. Not sure if there are any currently available - our most well-known seems to have gone into hiding.