No, because there are other vaccines that don't give you blood clots at all. Your entire point is moot. Pausing temporarily to investigate is hardly controversial. The comparison with birth control is nonsensical.

A vaccination for COVID is not the same as getting birth control. Even if it was, why would you get J&J if you could get Pfizer that doesn't have the same issue?

If all vaccinations had the same blood clotting issue then perhaps you and the original poster would have a point. Given a huge disparity between them with regards to blood clotting taking a moment to investigate this is simply prudent. Making nonsensical comparisons to birth control, well, is not.