Honestly, if this is not self evident then I don't really think I have the knowledge to prove it. What I can say is that having used a bow that is used for stalking, I would find the effort of using it accurately much more difficult than a rifle. So it would be more difficult to use and this would effect my confidence.
Additionally if you Google 'bow, wounding rates and deer' you will happily spend the evening as I have my day reading how bad things can be. Nobody is suggesting that wounding rates are equal. And my point is that we should only. Onside distances at which a bow is potentially usable. At such distances the likelihood of missing or wounding using a rifle would be much reduced.