The exact same thing could be said about AIDS, herpes, or any other STD if the other person has it. But that's a non-issue. If you sleep with somebody who has a venereal disease, chances are you're gonna get it too. Nobody disputes that. In fact it is common sense that unfortunately some people learn about the hard way.
The answer is not to force-vaccinate everybody on the off chance that they might contract STDs one day. The answer is to teach children basic morality and thus significantly reduce their risk of ever coming into contact with one of these horrible diseases.
The government's purpose isn't to teach morality and the government isn't forcing anyone to take the vaccine.
Why is the idea that each child's parents teach them morality and the government will make available vaccine for HPV to those who want it, such a bad idea in your mind?
No it isn't, because HPV is much more widespread in the general population than any of those diseases, and since it is generally asymptomatic, the vast majority of people affected don't know it.
The answer is to teach children basic morality and thus significantly reduce their risk of ever coming into contact with one of these horrible diseases.
What does "basic morality" mean with a virus this widespread? Does basic morality involve only marrying a virgin?