My GP is an “old school” family doctor in a small town. I’ve had similar inquiries in the past, and just scheduled an appointment with his receptionist. She had me describe the concern, his nurse - an NP, I think - approved the tests and the results were discussed at my next scheduled checkup. The actual physician had maybe an added couple of minutes demand on his time to view the results.

I don’t think this is anywhere near enough of an impact in terms of “false positives” to be a net negative.