I don't want to throw shade at anyone in particular in this thread but I think there is a real problem in this discussion in general where vaccinated people have a huge inherent motivation to believe it's safe. The only people in my life that have actively pressured me to get vaccinated are people that have been vaccinated themselves. It would be exceedingly difficult to admit you had taken a vaccine that may not be as safe as you thought it was, and had gotten your children vaccinated too, and convinced your reluctant spouse to get vaccinated.
And maybe none of your family experienced any negative side effects from the vaccine, that's great for you hypothetical person. But hypothetical person, it would take a whole lot to convince you that you had put your whole family in danger because you trusted the official information which seemed totally reasonable at the time.
I don't see any solution for this conundrum, it's just especially insidious because unlike a bad idea you can't just drop your support for a vaccine you already have taken.