If you move the Craver, the malus no longer takes effect, but nor do the FIDSI bonuses. To be clear, a planet with 1 Craver, and 10 non-Cravers will cause a -100 approval malus. Slave Drivers: This is your faction affinity, and it means that all non-Craver populations on planets with Cravers will produce 50% extra FIDSI, at the cost of -10 approval. This is a serious problem if your planets deplete too soon. Once depleted, a planet will only produce 50% FIDSI. The rate of depletion depends on the size of the planet, the number of Cravers on it, and the game speed, which can make faster game speeds a bit of a struggle if you get a bad start.
Depletion: Cravers will deplete planets per Craver population on planets.