Moe, for a flight self bow it's definitely going to have only a certain number of shots before it begins to break down. Those bows are on the ragged of survival, they're bult to throw an arrow a long way, not to survive even just that one event. Although, some do stay together for some time and have lots of arrows launched from them.
Mark, it probably depends upon the class the bow is made for. Some would be suitable for hunting and some wouldn't be.
If you'd like more information check out the flight section of PaleoPlanet.
Guy