I read on https://www.cdc.gov/coronavirus/2019-ncov/vaccines/different-vaccines/janssen.html (mirror):
Fainting After Vaccination
Fainting (syncope) and other events that may be related to anxiety like rapid breathing, low blood pressure, numbness, or tingling can happen after getting any vaccine. Although uncommon, these events are not unexpected, and they are generally not serious.
According to information from the Vaccine Adverse Event Reporting System (VAERS), there were 653 reports of fainting events (fainting and near-fainting) among nearly 8 million doses of J&J/Janssen COVID-19 Vaccine administered in the United States in March and April 2021. This translates to a rate of about 8 fainting events for every 100,000 doses of the J&J/Janssen COVID-19 Vaccine given. These events occurred during the recommended 15-minute wait after vaccination. It’s not clear at this time whether these events were associated with the vaccine or with anxiety, possibly related to preexisting concerns some people who chose to get the one-dose J&J/Janssen COVID-19 Vaccine may have about needles or shots.
By comparison, the rate of fainting after flu vaccination in 2019–2020 was 0.05 per 100,000 doses.
This means that the rate of fainting after a Johnson & Johnson's Janssen COVID-19 Vaccine is 653/(8,000,000/100,000) = 8.16, which is 163 (=8.16/0.05) times higher than the rate of fainting after flu vaccination.
Why is the likelihood of fainting after the Johnson & Johnson's Janssen COVID-19 Vaccine 163 times higher than the likelihood of fainting after flu vaccination?