sometimes its a matter of doing what is best for the bow,,
a few strands of sinew is probably not gonna do much,( a thin layer on the whole bow would do something)
I am just telling you what I would do if it was my bow,, it would not be worth risking it to me,, I would back it with rawhide,, just to be safe,, a use a more suitable piece for an unbacked bow,,
osage is tough ,, and it might be ok unbacked,, but your odds of success would go way up if it were backed,,
( Pope and Young were of the same opinion),,, like I said if the weight was lower I might go for it,, thats my gut feeling,,
how long is the bow,,??