A few years ago, there was a small black fiest type dog and a beagle that would run rabbits in the neighborhood. I would hear them and try to see what they were doing. The beagle was a nice looking tri color with straight legs but was slow as molasses. The Fiest would jump a rabbit and fly to a brush pile. The rabbit was running for its life or be caught. The beagle would shuffle along until it got to the brush pile then walk around it bawling. I was surprised but I never saw it enter a brush pile. Meanwhile the Fiest would go into the brush pile and the rabbit sprint to the next bruspile/briar patch, while the beagle was still walking around the empty brush pile bawling. Finally he would hear the Fiest barking, quit and shuffle over to the next hiding place. They would do this until finally the rabbit would go into a hole.
Between the two, if I was picking a rabbit dog, I would have chosen the Fiest.