If your pillar 1 and 2 cases had no COVID at all they could still have higher positives from false positivity arising from cross reactivity with other viruses. The rate could even change over time.
What an odd thing to say. As I've pointed out, the evidence you presented has nothing to do with the matter at hand, and the mathematics is very simple
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If you want to know the specificity of a test you need to work out how many results of testing are false positives. This involved measuring the whole testing process. That is what they and others have done and the specificity is significantly below 100%
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They did not. That is the point, they looked at between-lab agreement. That is not the same thing as specificity validation analyses. Anyway, as I've said numerous times, what you're proposing is mathematically impossible so it's just a bit silly
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