You bring up a great question. I've gone back and forth with this myself over the years, and it's hard to find a consensus among experts here.
HPV is most often cleared naturally by the immune response, but the virus can remain in an undetectable form that allows for it to emerge later. Now, this usually isn't an issue unless someone develops, say, a compromised immune system, but the possibility remains. It's very uncommon for someone who's gone six months free of warts to have them return, though.
It's difficult for me to strongly urge you to bring up a past HPV diagnosis with every new partner. This seems a bit unfair. However, sometimes the best reason to talk about this with a new partner is if you'll feel guilty for not bringing it up.
If you decide o discuss this, here are some talking points to consider including:
HPV is an almost universal virus, that 75-80% of sexually active people are thought to have at some point in their lives.
In the majority of cases the virus causes neither visible symptoms or health issues, and will be cleared naturally.
Not every single case goes according to this plan, though, so I thought I'd talk with you about it.
I hope this helps. Let us know if you have any other questions, ok?
Best to you,