I think Americans overall would very much support their PII being recognized as such, and to prevent the wholesaling of their genetic data.

Energy spent pointing fingers and throwing hands up would be better spent researching, educating the public, lobbying congress, and drafting legislation to support genetic (or general!) privacy. The corporations lobbying both sides against any kind of privacy regulation are the ones who have constructed the mirage that the entire party opposite of you will undo any attempt you make to improve things.