I think what a lot of people forget is that DA is a natural trait found to some extent in all dogs, just like prey drive. It's something that would help them to survive if they were suddenly on their own. Being a natural trait, (like prey drive) I don't think it's possible to eliminate it totally within a breed context.
The hound groups do seem to have less DA to start with overall. Like others have said, humans have bred dogs that work in teams with other dogs to have less DA, because it makes our job easier. Just like guardian breeds are bred to have a heightened sense of their territory, or terriers to have a heightened prey drive.
It's not that we remove traits from breeds we don't desire them in. We either accentuate them or diminish them. Those traits were there to begin with, and will always be to some extent. Now, certain individuals can be completely non DA nearly 100% of the time, but there are extreme instances where even they might be pushed over the edge.
And then, socialization and training can completely flip everything on it's head. Our old shepherd was VERY drivey, and wanted to eat all small animals she saw. It took over 6 months of careful positive conditioning, but she accepted our cat and house rabbit as family members not to be eaten or chased. There are thousands of examples of where environment overcomes the genetic tendencies of a dog. You could also point at a pit who has a small to moderate amount of DA (no more than the average dog, maybe less) and the amount of conditioning and torture the dog fighters will put that animal through to make it hate other dogs enough to kill them.