When deciding on whether or not to administer a procedure or treatment, one must consider the balance of potential harms and benefits, while accounting for uncertainty.
In this particular case, the potential for harm from the vaccine is quite low (this is borne out by the data), and the benefits are mostly unknown. The potential harms of NOT taking the vaccine are mostly unknown (data is still coming in), and the potential benefit of that course of action is quite low. So it seems like the positive expected value / utility decision here is for them to get the vaccine.
In your comment you use the analogy of a procedure with a much different risk / benefit profile. So that does not really hold up. A much better analogy would be something like routine screening for prostate cancer once you pass a certain age.