Everything has some rate of death. That doesn't make it reckless. Are you saying anyone who owns another dog or who rides a bikes or who has a tree in his yard or who cooks food or who performs surgery which leads to someone's death should also get [5–10 years in prison] no matter what?
I'm saying you are responsible for your actions and your property.
If you drive drunk, or negligently shoot someone there are serious consequences.
If you ride a bike recklessly and smoke a pedestrian there are consequences.
If your tree falls on your neighbors house there are consequences.
Edit Surgeons have malpractice insurance and can still have charges brought against them based on their behavior.
Edit They aren't always the same consequence, because society has determined a responsibility level with each type of action.
I believe if you have a dog capable of killing, and it does so, it should be as if you killed. Same as drunk driving. The specific charge may not be murder, that varies by jurisdiction.