The ONLY, literally the ONLY time someone's chromosomes, presence or absence of functional sry gene and testosterone response is of any relevance to the public (and even then, shocking that it should get to the point where it's in the public eye- should be properly dealt with in private for the dignity of the athlete), is when someone with male advantage attempts to participate in a sporting category reserved for females.
At that point, the onus should be on the athlete to demonstrate that they qualify for the category. This isn't hard - can you tell me about another sporting category where we say "oh go on then"?
The acceptance of a passport marker as eligibility was an explicit statement that the IOC were absolutely cool about unfair competition because:
a) Many, many countries in the world now allow this marker to be changed so it means precisely nothing about sex
b) People with DSDs that would disqualify them from entry to female competition based on their sex are likely to have had the wrong marker on their birth certificate and hence passport.
The IOC have made an absolute pigs ear of this, brought the organisation into disrepute, exposed two athletes to unbearable scrutiny, potentially cheated six other athletes from getting the Olympic medals they were entitled to.
But hey, NBD, it's just a contact sport where the difference between male and female performance is a safety as well as a fairness issue. No harm in putting inclusion before safety.