The actual in-hospital lab tests seem to have it nailed down pretty well at this point, at least around here.
Keep in mind that a lot of the ‘false positives’ aren’t - they’re people that had no symptoms while the disease ran its full course.
I know about folks being asymptomatic and I lost my aunt to this back in April so I am not insensitive to this. But I have seen enough questionable things happen to be highly skeptical of the practices we have been witness to.