The "double standard" is based on a biological reality. Women are at much greater risk than are men. They suffer many more debilitating, life altering, even life ending HPV diseases than do men. For that reason, the clinical trials focused on women, and the FDA subsequently approved the vaccine for women. Hopefully, it will be approved for males in the future.
Like many issues relating to the sexes, this may not be PC, but it's the way it is. Men and women are different. As conservatives, we should probably recognize that. Let the liberals pretend that sex is nothing more than a social construct.
Well the women aren't getting it from toilet seats. If they eliminated it in men then women wouldn't get HPV, nor would "they suffer the debilitating, life altering, even life ending effects".
In any case, I do not think a vaccine for a STD should be mandatory for anyone.