COVID-19 cases in the U.S. are mainly detected by highly specific molecular testing, not antibody testing
The number of COVID-19 cases in the U.S. is a combination of both confirmed and probable cases. Confirmed cases are detected by highly specific molecular testing for SARS-CoV-2, whereas probable cases may involve antibody testing in part. It is correct that antibody testing is prone to false-positives, because such tests may also detect antibodies against other coronaviruses besides SARS-CoV-2, such as those that cause the common cold. However, the breakdown of COVID-19 case numbers clearly shows that confirmed cases, rather than probable cases, comprise the bulk of COVID-19 cases.