Never thrown one into the fire, myself. I did string one and hang it on the wall:
It didn't really break, it could still shoot arrows, but it had a nasty split under that wrap where the nasty hinge is. Splinter lifted, I glued/wrapped, and it relifted at full draw. Wrapping saved it from breaking, but it took massive set right there instantly. Then I retired the bow for good.
Do atlatls count, too? This one sits as decoration on a bookshelf: