When the Assassins do their invisible thing (the one where they invokte Huldah), an extra space appears between "Faenrae" "Assassin" which makes them unable to be looked at, searched, etc. You can still attack them though, although only because you default to attack them.
I think what happens is that they go invisible (aka: I can search and see them), but they're still seen when I see them in the room (without the "invisible" or "hidden" modifiers like if it was a PC). I can also attack them while invisible if I spot them, but it doesn't draw them out of invis/hiding