from https://www.health.harvard.edu/diseases-and-conditions/by_th...
Am I understanding that correctly?
Doesn't necessarily have HPV their whole life - time-to-clearance is somewhat variable.
And yes, both slower clearance and just more infections are both associated with increased risk.
It's incredibly prevalent, but most people clear it within a couple years, and won't even know that they had it. The time to clear it is just variable and depends on your body's immune response, the longer you go without clearing it the higher the cancer risk.
But because the modern versions of these vaccines cover many strains (initial vaccines were two, Denmark chose a 4 way vaccine, now a nine way) it's very possible that you get a meaningful benefit by being protected from say six strains your body has never seen, even though the three it has already seen wouldn't be prevented.