The goal wasn't to eliminate the HPV strains, it was to decrease cervical cancer. Has Denmark encountered a drop in cervical cancer? If so, that's a great outcome!
HPV can cause cancers in the cervix, vulva, vagina, penis, anus and back of the throat [1].
[1] https://www.cdc.gov/hpv/about/cancers-caused-by-hpv.html
There's a chart about 2/3 down the page that shows a drop in several age groups, and a particularly striking drop in the 20-29 age group: https://onlinelibrary.wiley.com/cms/asset/fd3e820c-4610-4c4e...
> No cases of invasive cancer were recorded in women immunized at 12 or 13 years of age irrespective of the number of doses. > Women vaccinated at 14 to 22 years of age and given 3 doses of the bivalent vaccine showed a significant reduction in incidence compared with all unvaccinated women
For the second group, cases dropped from 8.4 to 3.2 per 100k.