This is pretty standard "how will we respond if there is a future authoritian regime"? (not saying the fear is unjustified - just saying the fear is pretty standard)
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Edit:
People are really misunderstanding my comment. Let me try again.
To be clear, this is hypothetical:
The government makes it illegal to support anyone of opposing political party. Which includes, not buying from their store. They go to the restaurant of the opposing party and run a DNA test on all of the silverware. They arrest anyone whose DNA matches the DNA on the silverware - because those people "supported" the opposing party.
But it's much worse if they manage to identify actual critics, people who actually defied them in some way.
The regime that strikes out randomly, probably that ferments opposition, right? The revolution that eats its young is a lot less scary than the revolution that consistently eats its enemies.
Uighurs in China. Communists in America during the McCarthy Era. Muslims in countries where "terrorism" is illegal.
The End of Genetic Privacy in the Blade Runner Canon - https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9731365/
They kind of do though.
> A bunch of people could be doing political activism at some location and be tracked down
Considering political activism is usually in groups out in the open, how practical would be to find the people participating via DNA tests (of what? maybe if they spit on the ground?), compared to the already existing and used phone geolocation and face recognition? Yes those can be protected against by not carrying a phone and wearing a mask/balaclava, but one can also take steps not to leave any DNA residue of use.
So I think it's pretty far fetched, and if you're concerned about your government abusing political activists (within reason of course, coup plotters are also technically political activists but not the type one wants to protect) there are better things to do than to focus on one specific impractical avenue of recognition that could lead to abuse.
Although I'm not sure how likely this is to be an actual threat we face.
[1] https://jacquesmattheij.com/if-you-have-nothing-to-hide/