I would also like to know why stateless EJBs are pooled. But i want to know why they're pooled rather than being created and destroyed on demand. The fact that instances can be reused for unrelated requests significantly complicates the implementation of stateless beans (it means you have to be incredibly careful about the use of instance fields), and i don't see any significant benefit to it.
Specifically, i don't see any performance benefit to it. I poked through the implementation of stateless beans in JBoss (6, IIRC), and its only the bean instance itself that's pooled; the plumbing to handle method invocation is recreated from scratch each time it's used. That means that the only performance saving is a single object creation, which should be a trivial amount of time. The only situation in which i can see it being non-trivial is if the bean acquires heavyweight resources, and holds on to them between invocations. However, in that case, the bean is really being used as a glorified, badly-managed, pool; the correct solution would be to pool the resource directly!
Now, EJB has been around a long time. Back when they first came out, object creation was expensive, so it made sense to pool them. But those days are long gone. Why was pooling not dropped in EJB3?