technically, I can't give you doctors names, but I know patients who went for a test and never received the test and received back a positive result.
Which sounds like BULLSHIT, since according to the state websites on covid-19 testing. Drive-up testing, where there is no ordering physician, are given instructions of accessing their test results, which would include a specimen or similar identifying number in order to maintain anonymity. And if they were not tested there would be no specimen number.
Second, if ordered by a physician, the results are returned to the physician, who would then communicate them to the patient. And I don't believe doctors would report a positive result, when they didn't get a test result back, since no test was taken (as you claim)