The difference is this. When you recover from the virus, (inactive) traces of it can stay with you for a long time -- weeks. Those will be detected at a much lower rate than when you are infected. When it is detected as such, it's considered a false positive (because you don't really have the virus) and (I think) those comprise the majority of false positives.
Anyway, my point is this. I think that after a positive test, for a player with no symptoms, he should be given an antibody test. If that's positive, he's good to go. Antibody test results can be same-day.
What you describe is not a false positive. That’s a true positive because it is detecting virus. A false positive is when the test says vita particles are present when there are none.
Antibodies take up to up to 3 weeks for the body to produce so it’s not a really good way to manage this in real time.
