Osage is God's gift to bow makers. It's extremely strong in tension and compression, can make a compact bow in heavy hunting weights, is less affected by changes in temperature and humidity, is very hard and can withstand rough handling in the field, and isn't prone to unexpected failure.
Do a search on "Why did my my (red oak, poplar, locust, Home Depot crown moulding, etc.) bow break? Then do a search for the same with osage. The lack of hits for osage should speak volumes. :^)