It's not a "DNA sample" in the way that most people would consider it these days, no more than a used cup would also be called a "DNA sample". But to your point, it can still be used for surveillance and tracking.
Also, your phrasing is designed to make it seem like a huge overreach, when this act has likely saved millions of lives through early diagnosis of preventable diseases and early intervention on disabilities. I have personally experienced this.
So yes, I do think your framing here is inaccurate through omission of key facts.