It really depends on how serious they actually are about their stated goals, doesn't it? If the path says Joe will help them with their goals more effectively without these things, they will do that. What I really want to know is: what if their Paths and batteries of various Precogs agree that the best way to achieve their goals was to place themselves under new management? I thought about this when I was considering the effect a MTG Planeswalker would have on the Worm setting. If Path to increasing powers and numbers of Parahumans had a step saying, swear permanent allegiance to the Planeswalker and subject yourself to her suzerainty, would they actually do such a thing? Even if long term Precogs showed her remaining in control of the planet, and nearby alternate ones as well, far into the future? While Joe isn't quite at that level yet, he may at some point in the future be able to induce anyone to get a random psychic ability, awaken people's auras, create personalized items to help any- and every- one with whatever powers they already have, and make weapons of incredible quality on the wholesale. Why wouldn't Cauldron just say, okay, here we are, and you are now in charge. Do with us as you will.
My personal opinion is that they would not, because Path to Victory is actually Path to Victory thru as Much Conflict as Possible, but that is pure fanon, and I would be happy to hear what others think.