It is highly unlikely as the reports of "reinfections" only are by PCR-positive test (not stating the quantity of viral RNA found, either). But it could be as well that the immune system found and cleared the virus.

One would need to see if there's infectious virus in the throat before calling a "reinfection".

P.S. for the GP: you might have got repeated infections of different viruses which causes similar symptoms, because something like that was found for "reinfected" cases in South Korea. Asking for a proper test and a serological test (so you know if one of the past events was indeed due to a SARS-CoV-2 infection) as well would help.