I guess I feel that in the world as it is right with HIV out there, one cannot consider having unprotected sex until one has been in a monogamous long term relationship, marriage or other. I guess that might seem cynical but I feel that is the reality. I want my daughter to plan to become a mother as well, another reason for always having safe sex.
HIV has a very long incubation period. I have sexually active adult sons, one 19 and one who is almost 21. I think the fear of getting a girl pregnant keeps them using barrier birth control and for that I am thankful. A dear friend of mine died on new year's day of complications of aid related lymphoma.

So, in my ideal world, I don't think my daughter needs to be vaccinated against HPV with a new vaccine that doesn't have a long track record because she will always have safe sex, never be coerced or assaulted, and she will also go for regular pap tests.
Now which space ship do I take to get my daughter to that ideal world:(
But in all seriousness, I see your points too but so far remain unconvinced that this vaccination is a necessity for my daughter.