There's no practical way to protect our genomes in meatspace. We're constantly shedding DNA into the environment. Hair, skin, saliva, etc. For example, an adversary can just tail us to a coffee shop or restaurant, and take a utensil or straw or napkin that we've used. And then submit the sample using a fake name, as investigators often do.
Edit: Those are excellent comments about scale. But generally, if you don't want to publicize your genomic data, just don't send in a sample.
Discriminate against them based on medical conditions, persecute them based on "impurities" (think Hitler & Jews or China & Uyghurs), make them targets of fishing expeditions for unsolved crimes, etc.
There's no practical way to protect our genomes in meatspace. We're constantly shedding DNA into the environment. Hair, skin, saliva, etc. For example, an adversary can just tail us to a coffee shop or restaurant, and take a utensil or straw or napkin that we've used. And then submit the sample using a fake name, as investigators often do.
Edit: Those are excellent comments about scale. But generally, if you don't want to publicize your genomic data, just don't send in a sample.