There's a ton of research into genomic privacy, and some ideas where a third party hosts encrypted genomic data. The parties interested in the data don't see it

There's a ton of research into genomic privacy, and some ideas where a third party hosts encrypted genomic data. The parties interested in the data don't see it, they send their query to the third party, the third party runs it and returns the results. However, it's yet unclear whether the transmission of the results ("your DNA of interest is contained in your person of interest's DNA") already counts as the transmission of personal data. I'd say it is personal data, making the whole enterprise moot.