In astrobiology, a proposed way of testing whether life found on another world is alien or originates from Earth is to determine the chirality of its molecules. This is of course only useful when the biochemistry is similar enough that one may suspect contamination.
But this test has a weakness. While different chirality can confirm alien origin, similar chirality does not exclude alien origin.
To mend this, a plausible idea is to cross check the chirality of a wide range of compounds. A false positive suggesting Earth origin would then have an exponentially smaller chance to match every single compound tested.
...or so I hope.
The issue is that I fear various chiral compounds do not have statistically independent default chirality. For instance, common biochemical pathways may produce one compound from another, leading the chirality of the first molecule to directly determine the chirality of the second.
I'm looking for a high level perspective: Does the chirality of a single compound more or less determine the chirality of all other compounds in an entire biochemistry, or are there a great number of compounds that have an arbitrary default chirality compared to others?