While I would agree that their lives have value, it's not clear that it's positive value. Life in the wild is not like life in civilization. It sucks.

Also, the value of the lives they influence will most likely be more important than their lives. They eat other animals on a regular basis.

Life in the wild being what it is as opposed to what it could be is a tragedy. Life in the wild existing at all may well be a tragedy. Perhaps what we really ought to do is just burn down the wild, and make that way of life end.