I figure the vaccine is a net positive, but you are missing a few factors in your analysis. There is an unstated assumption (maybe true, I don;t know) that 100% of the cervical cancers are accompanied by HPV; and that the vaccination will prevent the cancer.
Some of those 4000 (is that per year?) are, unfortunately, going to happen even if/when HPV vaccination has been mandatory for all, for a generation or two.
Yeah like about 1200, modiifed for population growth, since studies show 70% of cervical cancer deaths are HPV related while 30% are not.