That might be the central dispute she had with them. That makes more sense and I wish that's how they presented it.
However, you can't count 1 person as 3 positive tests (assuming you took 3 tests in a short time). but every time you're worried and get tested, it's a a test.
I'm not sure how you resolve that. I mean, if you tested negative this week, you can always catch it a week later. So, there will be duplicate testing.
I think it's just how it has to be.
However, what that means is that "positivity rate" isn't that meaningful, except for when it goes up, because that means, despite multiple testing, it is still growing.