Great topic for discussion.
If one is saying that the bow is a less efficient weapon than the gun, which it is, why also advocate the use of less efficient guns...where is the logic there?
The bow and inefficient gun would have one thing in common. You would have to draw the turkey inside twenty yards in either case. Which is the allure of bowhunting to begin with. I'm pretty sure they were bowhunting deer and turkeys on this continent long before the gun arrived. The bowhunters probably frowned upon the use of guns so it has gone full circle.
As for sheer numbers, far more turkeys are wounded and lost by guns than bows, just because the gun hunters outnumber bowhunters by probably ten to one. A single bow vs a single gun, yes the gun is far more efficient.
"The joy of living is his, who has the heart to demand it." Teddy Roosevelt