There is a lot of pain from
cervical cancer if untreated (it is highly curable)
and from strokes,infertility,etc from the vaccine.
These risks of the vaccine and the disease it
is meant to prevent are also shared by the families
of these women. With the vaccine that might involve
large fractions of the population.
Iirc, one of the arguments against this vaccine is that, in spite of the warnings, women who receive the vaccine will believe they can’t get cervical cancer, and therefore won’t get Pap tests. With early detection, cervical cancer is highly treatable, but it won’t be detected if women don’t get the test.