Hoopoe
Senior Member (Voting Rights)
On Twitter someone pointed me to this Danish preprint which found that 16% of patients reported fatigue and 13% concentration difficulties 12 weeks after COVID-19 infection. Acute and persistent symptoms in non-hospitalized PCR-confirmed COVID-19 patients (medrxiv.org)
RT-PCR tests have varying reliability. For example their sensitivity depends on time passed since infection onset.
Over the 4 days of infection before the typical time of symptom onset (day 5), the probability of a false-negative result in an infected person decreases from 100% (95% CI, 100% to 100%) on day 1 to 67% (CI, 27% to 94%) on day 4. On the day of symptom onset, the median false-negative rate was 38% (CI, 18% to 65%). This decreased to 20% (CI, 12% to 30%) on day 8 (3 days after symptom onset) then began to increase again, from 21% (CI, 13% to 31%) on day 9 to 66% (CI, 54% to 77%) on day 21.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7240870/
It's also possible that the tests are especially unreliable for long covid patients because their expression of the illness is not the reference for which the tests and testing guidelines were developed.