Look at the data on number of films Nicolas Cage has been in and the number of people who drowned in pools. The data speaks for itself. I'm not going to let my kids watch Nicolas Cage movies, because that would contribute to annual pool drownings, and I don't want to be a part of it. If you cared about your children, you'd look at the data too.
Again, HPV contraction doesn't require sex. I also don't advocate for either of those parenting approaches you've mentioned for some seemingly-unrelated reason.