I appreciate the discussion...
a. Based on this this study you can see some people never need to develop detectable antibodies to the beat the virus naturally. Scientists have not ruled out cross reactivity or other mechanisms of natural immunity.
b. You really do not want to have detectable antibodies. Particularly Persisent antibodies as they correlate with comorbidities and severity of disease.
the more persistent antibodies have a correlation with severity of symptoms and co morbidities....
The less severe the symptoms... the more likely you did not even have detectable antibodies.
https://www.thelancet.com/journals/lanmic/article/PIIS2666-5247(21)00025-2/fulltext
" We observed a distinct stepwise progression from the negative group to the persistent group, whereby patients with persistent antibodies were older and had more comorbidities, including hypertension and diabetes mellitus."
The demographic differences we observed were probably related to increased disease severity, as patients in the persistent group had poorer clinical outcomes, including pneumonia, supplemental oxygen requirement, intensive care unit admission, and mechanical ventilation. Baseline symptoms and investigations reflected this increased disease severity, with a greater proportion of patients with fever, cough, dyspnoea, reduced lymphocyte count, increased C-reactive protein, and increased lactate dehydrogenase in the persistent group. We observed a greater proportion of asymptomatic individuals in the negative group (11 [58%] of 19 patients) compared with the persistent group (three [6%] of 52 patients).