39 deaths from the vaccine. Less than 4000 total deaths a year from Cervical Cancer. The vaccine doesn’t prevent all cervical cancer, and the vaccine is only good for 5 years (I didn’t know that).
Other deaths coinciding with the vaccine have been excluded because the information about them was incomplete.
The cervical cancer prevented by the vaccine can also be prevented by safe sex or abstinence. Neither of those have killed anybody.
So it is not as “no-brainer” as you think. The relative risks are within a few orders of magnitude, and the relative risks among some subclasses are about even, so if you are in those subclasses you might well just ignore the vaccine.
On the other hand, the risks of the vaccine, while much greater than “promised”, are not so far showing up as bad as feared. A few more years and we’ll know more about long-term effects. But for now, there is still the risk of the unknown which isn’t factored into the 39 deaths number.
As to your example of riding in a car, that is also more of a risk than of getting cervical cancer in this country.
Our pediatrician laid out all the pros and cons, and concluded that the benefits outweighed the risks. . . . and you know, that's what he went through med school and residency for, and that's why we go to him . . . .