i think most of it is the fact that you have a deep groove where the floppy goes in. i tried a floppy on my self bow like this the other day , and it chewed up my feathers. i now use i think its "ferrets" floppy (i could be wrong) , but i glue the piece of leather in half , with a bit of curl to it , and then one leg goes up , the other goes down. i dont have any groove like yours does , and it doesnt chew em up now. i was just shooting off my hand before , and thats why i thought maybe you needed to wrap your fletching.
-hov