There will always be a few with side effects some more serious than others.
Yes. The side effects of COVID itself are much, much worse. Even people who had asymptomatic cases can suffer long COVID. And long COVID can be serious, and it can last for a long time.
That, in itself, isn't unusual. Many viruses have sequelae, some of them alarming. Some victims of the 1918 flu later developed a form of Parkinsonism.
Way better to get the COVID vaccine--I had Moderna--and maybe feel shitty for a few days, as I did.