I'm more inclined to believe this theory than any of the others... I know for one, I'll be killing Mitchell as soon as I can. I have a lot of other killing to accomplish in the wastes and I don't want the victims friends and family dragging the corpses over to a doctor that has the ability to ressurect the dead.
It makes me wonder... I might be wrong, but the Pip-Boy uses a biometric sensor that prevents it from being used by others but you. And once you strap it on your arm, you can't take it off.
So, how can Mitchell take off the pip-boy out of his own arm? He can't. But if he gets someone else from a vault and chop their arms he might be able to take it off. However, there is still the biometric lock, only the greatest hacker in the wasteland, or someone who has access to VaultTec technology or maybe an overseer could disable this.
The idea of Doc being an overseer might be right, but why leave his vault without a leader? Why and how does he resurrects people?
Leaving the vault, to become a doctor in Goodsprings is kinda of a dumb thing to do. Resurrecting random folks found dead on the wasteland is another strange thing to do. Giving a Pip-Boy to a complete wastelander and a suit as well is even more weird.
Dr. Mitchell is a strange man...