Also classification of seriousness of side effects was kinda skewed, too. If you didn't read into details of studies, you'd think that claims like "serious side effects are rare", as something that is a meaningful input to your decisionmaking about getting vaccinated. But if it was defined as conditions requiring hospitalizations or urgent care, then there are other very comon side effects that don't require it and can still upend your life if they last long time.
Being unable to work properly for longish time (say months to a year), without needing hospitalization is quite serious to anyone in working age. There was no way to judge how long particular side effects can last (and likelihoods) from vaccine studies, because data for judging this were not published, despite for sure being available from the original trials to the researchers.
There's apparently a lot of research about how to push people to vaccinate and about vaccination hessitancy, though. :) But providing some useful data about side effects, like how likely they'll last 2 weeks, 1 month, 3 months, 6 months for a vaccination that was intended to quickly give to almost everyone... No, can't have that. That was almost impossible to find. And if you did find something, it was some independent research with small sample size.