From "Hunting the Hard Way" by Howard Hill...
"If the barbed-head type of broadhead is used and it is shot completely throught the prey, there are ten chances to one that the protruding head will hang on some limb or brush in a short time and will pull the shaft out, so that if the game has not been hit in a vital spot, there will be left a clean wound which will heal quickly. For this one reason I use only barbed broadheads.
I have never seen a broadhead arrow come back out the way it went in unless someone pulled it out, no matter what type of shoulder the head had; yet during my twenty-five years of hunting, I have had at least thirty arrows pulled out by having the barbed head hang on limbs, weeds, tall grass, and so on."
In the fifties there was a distinct disrespect for the power and efficiency of the bow and arrow. The myth of the "pincushion deer" flourished during this time and it seems that game commissions succumbed to public sentiment... for the most part I believe they harbored the same sentiments.
The barbed broadhead was seen as cruel and inhumane and to a great extent that mind set persists to this day.
My experience with barbed heads echoes that of Howard Hill.