If you’re not contact tracing or enforcing quarantine, does it actually matter? Who is being misled by combining the two and how?
a lot of people are using the % positive as a metric to intuit roughly how many new infections are occurring. if you include antibody tests, that number will likely be lower (and certainly not directly comparable to earlier data that didn't include them).
people are also tracking how many tests are performed as a metric of testing capacity. fairly obvious how that misleads.
bottom line, they're different tests that do different things and if you combine them then you don't have good data on either.