Hypothetically if they could read you mind, you would have to try your damnedest not to think of the other holders...right? So it will slow them down but they still have the information.
Discussion
Yes, they will have the info but they won't have permission.
Yes but they are lazy & hate doing work to a fault, so before they go and chase down your loved ones, they're more likely to blow up the whole world.
I hope they don't.