I c but there are another TCK tests which require that ProcessBeanAttributes get set for specialized away beans. This test modifies them and change the specialization chain.

So have 2 options:
1.) Evaluate the specialization chain upfront, don't fire PBA for specialized away beans but do NOT allow ProcessBeanAttributes to change anything in it's specialization state.
2.) Fire PBA also for specialized away beans and thus have a way to properly change the specialization state.