I have time and played around with google. Your statement is accurate though the best I found, it is based on "traditional archery" - recurve and longbow. The study is from the 90s though it is based on traditional archery, so date wise, little relevance.
"Abstract: We captured and affixed radio collars to 80 male white-tailed deer (Odocoileus virginianus) during 1995-1997 to ascertain the wounding rate and proportion of deer that die from hunter-inflicted wounds. Our study population was hunted only with traditional archery equipment (recurve and longbows). Of the 22 deer shot by archers, 11 were recovered by the hunter, resulting in a 50% wounding rate (deer shot but not recovered). Only 3 (14%) of the 22 deer shot by hunters died and were not recovered. Based upon demographic and harvest statistics, these estimates indicate that approximately 4% of adult males in the population die from archery related wounds annually and are never recovered."
I would believe this recovery ratio is worse off than rifle though that's my assumption.
"Wounding Rates of White-tailed Deer with Traditional Archery Equipment Stephen S. Ditchkoff, Department of Zoology and Oklahoma Cooperative Fish and Wildlife Research Unit, Oklahoma State University, Stillwater, OK 74078 Edgar R.Welch, Jr., Department of Zoology and Oklahoma Cooperative Fish and Wildlife Research Unit, Oklahoma State University, Stillwater, OK 74078 Robert L. Lochmiller, Department of Zoology, Oklahoma State University, Stillwater, OK 74078 Ronald E. Masters, Department of Forestry, Oklahoma State University, Stillwater, OK 74078 William R. Starry, McAlester Army Ammunition Plant, McAlester, OK 74501 William C. Dinkines, Oklahoma Department of Wildlife Conservation, 1801 N. Lincoln, Oklahoma City, OK 7310"
