Earlier quoted context omitted.
Parent is overstating the case. Neither infection nor vaccination provides sterilizing immunity [1], but the general reasons to prefer vaccination are (in order of descending quality of evidence & reasoning): 1) you probably haven't had all N strains yet. 2a) you likely haven't been infected with the ones that cause cancer, because they're relatively rare. 2b) ...that is especially true if you're young and not sexual…
What if you're married? Does it still make sense, if you know you won't ever be sleeping with a new partner?
I'm not being avoidant here -- medical decisions are always subjective and multi-factor, and I can't begin to tell you what you should do. (But I also sincerely believe that propagandists try to reduce nuanced data to talking points, which is equally wrong.)
Please note the caveat about gender that I just added. The data for biological men and women are very different. Also, I haven't discussed risks at all, which is the other side of the ledger -- these vaccines are pretty darned safe, but everything comes with risk, and only you can decide what level of risk is appropriate for your life.