I'm aware that there's not enough information to say yet, but it's something I'd like to see them look out for. The side effects are absolutely not a good enough reason to avoid getting vaccinated, both for your own sake and as a participant in herd immunity, but I've personally witnessed enough unpleasantness to know that there will be people who avoid it just to avoid the side effects.
Being able to provide good advice to help the rational but fearful may help get us over the threshold, despite the large numbers of irrationally fearful. We'll need every single one to get there.