For the last few fractions of a percent accuracy, a SRY cheek swab test is a simple non-invasive screening test that can flag individuals for further investigation. World Athletics have just implemented this test, stating it is “a highly accurate proxy for biological sex”.[1] A positive result in this screening test could be combined with a finger prick test for testosterone level to provide further information, and at this point we’re into methods of medical diagnosis of DSDs. About 1 in 5000 individuals will have a DSD, some of which are still unambiguously male or female (e.g. XXY Klinefelter syndrome), and some of which are almost unique individuals that defy categorization.
At this point, it is popular to seize on those rare individuals and declare “aha! So sex isn’t binary then! So it must be a spectrum!”, and while this is surely well-intentioned, it is scientifically illiterate.[2] I suspect part of the confusion is interpreting “binary” as a mathematical Boolean value (where exceptions cannot, by definition, exist) rather than as a scientific classification, where exceptions can and do exist and “prove the rule”.
[0] https://www.sciencedirect.com/science/article/pii/S004269892...
[1] https://www.bbc.com/sport/athletics/articles/cj91dr17d1no.am...
[2] https://richarddawkins.com/articles/article/race-is-a-spectr...
>What tests with what results would conclusively show which individuals went down which pathway?
You've managed to provide 0 tests that conclusively answer the question.
Did you know there is no conclusive test for Alzheimer’s, IBS, migraines, and dozens more physical conditions, nor for any psychiatric condition? Do you think these aren’t real, or that they cannot be discerned to a useful degree of accuracy?
Besides that, there are things you can determine with certainty: The presence of a substance in blood for example
Do you think natural phenomena don’t exist or can’t be useful unless there is a simple test to grant you the details?