No, I think. From the sounds of it, they have to be publicly accused of being the identity of the Pained, or alternatively, their ability is publicly declared.

Knowing that a Pained exists isn't enough. So, for example, if I was the Pained, my secret is kept until someone else goes "Hey Formy, you're [Joe Bloggs], aren't you?" or "Hey Formy, you have the ability [Disco Dancing!], don't you?"

I guess at that point the host would tell the Pained that they've been found out and tells them their new win condition (which, from the sounds of it, is of the KILL EVERYONE variety).