But what I was getting at was - how do you decide in the more grey areas? Does an XX person with a translocated SRY gene compete as male or female? Does a person with XY but CAIS and who in all other respects appears as a normally-developed female compete as male or female? You can't in isolation use T-levels, chromosomes, presence of SRY gene, specific organs, etc to tell - it needs to be if someone has gone through an at least partial male puberty, but given that that can be partial, how do you measure it? It certainly CAN be complicated, even if it is not in the case of most DSDs, and I don't think there is likely to be any single deciding factor that you could use in these cases to distinguish between the categories.
Yes, Duttee Chand would be the classic example - CAIS, phenotypically female (though lacking ovaries and uterus, I think - but no testes of any significant sort either), no advantage from male puberty.
Interestingly, following the history of Chand and Semenya shows why there isn't a "one size fits all" answer. After Semenya's early successes legislation was brought in to force athletes to lower their testosterone which Semenya did for a number of years (during which the medals dried up). Then Chand brought a case against the athletics authorities on the grounds that she was being forced to take medication with potential side effects when (because she had CAIS) there was no effect from the medication. The court of arbitration found in her favour, and that ruling covered Semenya as well, who promptly came off the androgen blockers and started winning by a country mile.
I suppose we could sacrifice the careers of athletes like Chand for the greater good - just exclude anyone who wasn't straightforwardly genotypically and phenotypically female. But it's not obvious that this is a defensible answer.