Support49 from what I read there's no proof but some docs believe there's less of a chance. But some warts are so small they're not visible so you could have them and not know. I asked 3 different docs (1 even a director of urology at hospital) and all 3 said you CAN'T pass warts ever without having them active but that's contrary to everything online including CDC so I am very confused. I even told them what I read and they dismissed it.
It is the responsible thing to do but at the same time you should educate them on the facts about HPV. If your future partners have had sex with more than 4 men in their entire lives, then it is very possible that they have been exposed to it too. Condoms reduce the odds of transmission but not much. They don't cover the base of the penis or the scrotum. Having sex with someone who has active warts is unsafe. She should not be having sex with anyone until they are gone. Basically, it is not required to inform future partners especially if they have had multiple partners but it is the right thing to do. As is being monogamous and reducing the number of partners to just one.