Couldn’t you have gotten the vaccine after your divorce if you wanted?
But the fact remains that you are still at risk of many other STDs, so you can still bring home (or have brought home) plenty of other diseases.
The last point, which I knew some people here would dislike, is that the possibility of HPV transmission could, on the margin, discourage some people from being unfaithful. This is because it would be a telltale sign of infidelity, and would cause the spouse to investigate.
Granted, this is only the case where the spouse knew he/she did not have HPV before (mostly people who remained celibate before marriage). If you had many partners before marriage, this advice probably doesn't resonate, but for people who did it makes perfect sense. It acknowledges the risk of infidelity and creates additional accountability by not shielding one's self from a likely telltale sign.
Also, I think these questions are in bad faith.
It is actually hard to get people to change any behavior. The public health benefits should be a primary concern. Avoid vaccination if there is a downside to you personally, but that isn’t what I’m hearing from your comments.