That's what is intended by the spec, yes.
For some reason it's bound to java:app/BeanManager in JBoss 5.2/6.x, but I think I have seen a JIRA for this.
In GlassFish V3 the binding is correct.
Yup, but in JBoss AS. Unfortunately, I don't speak Carloese, so have not yet managed to understand how to get this binding correct. I'm trying again :-)