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.
r/Fitness does a weekly "Moronic Monday", a judgment-free thread where people can ask questions that they would ordinarily feel embarrassed for not knowing the answer to. I thought this seemed like a useful thing to have here - after all, the concepts discussed on LessWrong are probably at least a little harder to grasp than those of weightlifting. Plus, I have a few stupid questions of my own, so it doesn't seem unreasonable that other people might as well.