I think there is some value in keeping some plausible deniability that the vets are working with Paulie. Maybe he can gather more info now from the other side. The tricky part will be veto though. They need Paulie to win rather than a vet or Nicole. Paulie down, Victor or Paul up makes the most sense. I think Nicole will throw it so she doesn't have to decide about taking Paulie down, especially if she honestly believes she has the votes to send Jozea home.
If someone else wins, I cant think of many people who would take down Jozea. Bigger worry is just keeping them the same and Paul rallying the newbies to send Paulie home. Even that isn't the end of the world for Nicole though, and you could argue it's better for Corey/Tiffany.