The back is in tension.
Any wrapping going around the bow will stiffen it a tad but won't add much in the way of increased resistance to tension along the back.
If you think it will blow anyway, why not try the patch?
Just think of the physics... just like the recent thread about butt splicing a bow. The unanimous opinion was an overlay over the joint. It worked.
You can lead a horse to water...
No more from me on this thread... honest, yes, really....
Del