I believe there is indeed a connection.
https://www.news-medical.net/news/20210210/Cohort-study-finds-low-SARS-CoV-2-antibody-responses-in-asymptomatic-and-mild-COVID-19-cases.aspx
https://www.nejm.org/doi/full/10.1056/NEJMoa2029849
https://pubmed.ncbi.nlm.nih.gov/22536382/
(post is archived)