I don't understand turning a good bow into firewood just because it needs a band-aid.
Almost all of the splinters I fixed on other peoples bows were on bows that popped a splinter after years of use, often in excess of 100k shots and a couple over 250K.
All wood bows will fail over time if you put enough arrows through them, it often takes more arrows than us normal shooters will ever launch. Some of the serious tournament shooters who use my bows put an astounding number of arrows through them.
Case in point; I made a really nice osage bow, killed the biggest buck of my life with it. After several years as my primary bow it got some weird fractures on the back, like frets on the belly but on the back.
Thinking it might blow, I took it to the belt sander, flattened the back and made it into a bamboo backed osage bow. Once again it was my primary bow.
After a few years of constant shooting it popped a splinter on the bamboo back so I put a band aid on it and continued shooting it. I gave it a band-aid about 6 years ago. I still shoot it every now and then but as I passed 70 it became a little too stout for me to shoot on a day to day basis.
Had I trashed this wonderful bow because of what I consider a minor problem it would have been a terrible waste.
It is an oldie;