With respect, it really doesn't matter what we think an acceptable loss ratio is, or how we might rationalize it based on game management, they're all going to die anyway, or whatever. The only thing that matters if we're going to continue to be allowed to hunt is the non-hunting public's perception of hunting. Fortunately, historically there has been a generally favorable view of hunting among the majority of (non PETA) citizens, based on our history of inclusiveness, the pioneer spirit, etc., unlike Europe, where hunting was generally forbidden for centuries to all but the royalty.
Whether hunting will continue to be viewed as generally acceptable depends on a lot of things that are out of our control, such as the next Disney movie. Bambi didn't stop hunting in the '50's, but Blackfish may well have doomed the captivity and training of killer whales more recently, as other documentaries may have doomed trained elephants in circuses. Watching elephants and killer whales perform is something the general public has enjoyed for generations, and yet it was willing to abandon those activities fairly quickly when it was convinced that the animals were being abused.
Would the result have been different if the industries involved had been able to publicly come forward at the time those documentaries were produced and show that the practices in the documentaries had already been stopped? For that matter, would the documentaries have even been produced if that had been the case?
I think these are things we should be thinking about, and consider self-policing practices the general public would consider non-humane, before they do it for us.