I do often wonder about stories like this in the context of forensic science – my (incomplete!) understanding a lot of the time suspect DNA samples are taken from small areas and amplified significantly with high-cycle count PCR. I'd worry that any jury presented with a statistical argument about a fragment of somebody's DNA being very unlikely ("1 in 100 million") to be different to the sample found at the scene wou…
Testing relies on amplifying many parts of the human DNA not just a small fragment.
The smaller the fragment the less precise the comparison.
So no, floating DNA does not meaningfully impact testing. It can impact PCR assays that target small regions for identification eg of viruses.