Dark matter is not evenly distributed, it exists more in the "halo" at the outer edges of a galaxy than it does near the center, black hole or no black hole.
The reason for this is that dark matter is collisionless and that mean that unless it actually hits the event horizon of a black hole, or comes very close to it, it just keeps on going. If you look at the travel curve showing distance from the center, it's a sine wave, with the speed near the black hole large and the speed out in the halo small. That means the dark matter particles spend more time in the halo than in the center of a galaxy.